1,000,000

1,000,001 to 1,999,999

• 1,000,003 = Smallest 7-digit prime number
• 1,000,405 = Smallest triangular number with 7 digits and the 1,414th triangular number
• 1,002,001 = 1001², palindromic square
• 1,006,003 = largest known generalized Wieferich prime in base 3, and only one apart from 11
• 1,006,301 = First number of the first pair of prime quadruplets occurring thirty apart ({1006301, 1006303, 1006307, 1006309} and {1006331, 1006333, 1006337, 1006339})
• 1,024,000 = Sometimes, the number of bytes in a megabyte
• 1,030,301 = 101³, palindromic cube
• 1,037,718 = Large Schröder number
• 1,048,576 = 1024² = 32⁴ = 16⁵ = 4¹⁰ = 2²⁰, the number of bytes in a mebibyte (previously called a megabyte)
• 1,048,976 = smallest 7 digit Leyland number
• 1,058,576 = Leyland number
• 1,058,841 = 7⁶ x 3²
• 1,077,871 = the amount of prime numbers between 0 and 16777216(2^24)
• 1,081,080 = 39th highly composite number
• 1,084,051 = fifth Keith prime
• 1,089,270 = harmonic divisor number
• 1,111,111 = repunit
• 1,112,083 = logarithmic number
• 1,129,308³² + 1 is prime
• 1,136,689 = Pell number, Markov number
• 1,174,281 = Fine number
• 1,185,921 = 1089² = 33⁴
• 1,200,304 = 1⁷ + 2⁷ + 3⁷ + 4⁷ + 5⁷ + 6⁷ + 7⁷
• 1,203,623 = smallest unprimeable number ending in 3
• 1,234,321 = 1111², palindromic square
• 1,246,863 = Number of 27-bead necklaces (turning over is allowed) where complements are equivalent
• 1,256,070 = number of reduced trees with 29 nodes
• 1,262,180 = number of triangle-free graphs on 12 vertices
• 1,278,818 = Markov number
• 1,290,872 = number of 26-bead binary necklaces with beads of 2 colours where the colours may be swapped but turning over is not allowed
• 1,296,000 = number of primitive polynomials of degree 25 over GF(2)
• 1,299,709 = 100,000th prime number
• 1,334,961 = the number of possible arrangements of the integers 1, 2, ..., 10 with the restriction that the integer j must not be in the j-th postition for each j, ${\displaystyle 1\leq j\leq 10}$.
• 1,336,336 = 1156² = 34⁴
• 1,346,269 = Fibonacci number, Markov number
• 1,367,631 = 111³, palindromic cube
• 1,388,705 = number of prime knots with 16 crossings
• 1,413,721 = square triangular number
• 1,419,857 = 17⁵
• 1,421,280 = harmonic divisor number
• 1,441,440 = 11th colossally abundant number, 11th superior highly composite number, 40th highly composite number
• 1,441,889 = Markov number
• 1,500,625 = 1225² = 35⁴
• 1,539,720 = harmonic divisor number
• 1,563,372 = Wedderburn-Etherington number
• 1,594,323 = 3¹³
• 1,596,520 = Leyland number
• 1,606,137 = number of ways to partition {1,2,3,4,5,6,7,8,9} and then partition each cell (block) into subcells.
• 1,607,521/1,136,689 ≈ √2
• 1,647,086 = Leyland number
• 1,671,800 = Initial number of first century xx00 to xx99 consisting entirely of composite numbers
• 1,679,616 = 1296² = 36⁴ = 6⁸
• 1,686,049 = Markov prime
• 1,687,989 = number of square (0,1)-matrices without zero rows and with exactly 7 entries equal to 1
• 1,719,900 = number of primitive polynomials of degree 26 over GF(2)
• 1,730,787 = Riordan number
• 1,741,725 = equal to the sum of the seventh power of its digits
• 1,771,561 = 1331² = 121³ = 11⁶, also, Commander Spock's estimate for the tribble population in the Star Trek episode "The Trouble with Tribbles"
• 1,864,637 = k such that the sum of the squares of the first k primes is divisible by k.
• 1,874,161 = 1369² = 37⁴
• 1,889,568 = 18⁵
• 1,928,934 = 2 x 3⁹ x 7²
• 1,941,760 = Leyland number
• 1,953,125 = 125³ = 5⁹
• 1,978,405 = 1⁶ + 2⁶ + 3⁶ + 4⁶ + 5⁶ + 6⁶ + 7⁶ + 8⁶ + 9⁶ + 10⁶

2,000,000 to 2,999,999

• 2,000,002 = number of surface-points of a tetrahedron with edge-length 1000
• 2,000,376 = 126³
• 2,012,174 = Leyland number
• 2,012,674 = Markov number
• 2,027,025 = double factorial of 15
• 2,085,136 = 1444² = 38⁴
• 2,097,152 = 128³ = 8⁷ = 2²¹
• 2,097,593 = Leyland prime using 2 & 21 (2²¹ + 21²)
• 2,118,107 = largest integer ${\displaystyle n\leq 10^{10}}$ such that ${\displaystyle \sum _{k=0}^{22}\omega (n+k)\leq 57}$, where ${\displaystyle \omega (n)}$ is the prime omega function for distinct prime factors. The corresponding sum for 2118107 is indeed 57.
• 2,124,679 = largest known Wolstenholme prime
• 2,144,505 = number of trees with 21 unlabelled nodes
• 2,162,160 = 41st highly composite number, 2079th triangular number
• 2,177,399 = smallest pandigital number in base 8.
• 2,178,309 = Fibonacci number
• 2,222,222 = repdigit
• 2,266,502 = number of signed trees with 13 nodes
• 2,274,205 = number of different ways of expressing 1,000,000,000 as the sum of two prime numbers
• 2,313,441 = 1521² = 39⁴
• 2,356,779 = Motzkin number
• 2,405,236 = Number of 28-bead necklaces (turning over is allowed) where complements are equivalent
• 2,423,525 = Markov number
• 2,476,099 = 19⁵
• 2,485,534 = number of 27-bead binary necklaces with beads of 2 colours where the colours may be swapped but turning over is not allowed
• 2,515,169 = number of reduced trees with 30 nodes
• 2,560,000 = 1600² = 40⁴
• 2,567,284 = number of partially ordered set with 10 unlabelled elements
• 2,598,560 = chances of getting a royal flush in a hand of poker (52!/5!47!) (n choose r)
• 2,646,723 = little Schröder number
• 2,674,440 = Catalan number
• 2,692,537 = Leonardo prime
• 2,704,900 = initial number of fourth century xx00 to xx99 containing seventeen prime numbers {2,704,901, 2,704,903, 2,704,907, 2,704,909, 2,704,927, 2,704,931, 2,704,937, 2,704,939, 2,704,943, 2,704,957, 2,704,963, 2,704,969, 2,704,979, 2,704,981, 2,704,987, 2,704,993, 2,704,997}
• 2,744,210 = Pell number
• 2,796,203 = Wagstaff prime, Jacobsthal prime
• 2,825,761 = 1681² = 41⁴
• 2,890,625 = 1-automorphic number
• 2,922,509 = Markov prime
• 2,985,984 = 1728² = 144³ = 12⁶ = 1,000,000₁₂ AKA a great-great-gross

3,000,000 to 3,999,999

• 3,111,696 = 1764² = 42⁴
• 3,200,000 = 20⁵
• 3,263,443 = sixth term of Sylvester's sequence
• 3,276,509 = Markov prime
• 3,294,172 = 2²×7⁷
• 3,301,819 = alternating factorial
• 3,333,333 = repdigit
• 3,360,633 = palindromic in 3 consecutive bases: 6281826₉ = 3360633₁₀ = 1995991₁₁
• 3,418,801 = 1849² = 43⁴
• 3,426,576 = number of free 15-ominoes
• 3,524,578 = Fibonacci number, Markov number
• 3,554,688 = 2-automorphic number
• 3,626,149 = Wedderburn–Etherington prime
• 3,628,800 = 10!
• 3,748,096 = 1936² = 44⁴
• 3,880,899/2,744,210 ≈ √2

4,000,000 to 4,999,999

• 4,008,004 = 2002², palindromic square
• 4,037,913 = sum of the first ten factorials
• 4,084,101 = 21⁵
• 4,100,625 = 2025² = 45⁴
• 4,194,304 = 2048² = 4¹¹ = 2²²
• 4,194,788 = Leyland number
• 4,202,496 = number of primitive polynomials of degree 27 over GF(2)
• 4,208,945 = Leyland number
• 4,210,818 = equal to the sum of the seventh powers of its digits
• 4,213,597 = Bell number
• 4,260,282 = Fine number
• 4,297,512 = 12-th derivative of x^x at x=1
• 4,324,320 = 12th colossally abundant number, 12th superior highly composite number, pronic number
• 4,400,489 = Markov number
• 4,444,444 = repdigit
• 4,477,456 = 2116² = 46⁴
• 4,636,390 = Number of 29-bead necklaces (turning over is allowed) where complements are equivalent
• 4,741,632 = number of primitive polynomials of degree 28 over GF(2)
• 4,782,969 = 2187² = 9⁷ = 3¹⁴
• 4,782,974 = n such that n | (3ⁿ + 5)
• 4,785,713 = Leyland number
• 4,794,088 = number of 28-bead binary necklaces with beads of 2 colours where the colours may be swapped but turning over is not allowed
• 4,805,595 = Riordan number
• 4,826,809 = 2197² = 169³ = 13⁶
• 4,879,681 = 2209² = 47⁴
• 4,913,000 = 170³
• 4,937,284 = 2222²

5,000,000 to 5,999,999

• 5,049,816 = number of reduced trees with 31 nodes
• 5,096,876 = number of prime numbers having eight digits
• 5,134,240 = the largest number that cannot be expressed as the sum of distinct fourth powers
• 5,153,632 = 22⁵
• 5,195,977 = smallest number n such that the sum of reciprocals of primes up to n exceeds 3
• 5,221,225 = 2285², palindromic square
• 5,293,446 = Large Schröder number
• 5,308,416 = 2304² = 48⁴
• 5,496,925 = first cyclic number in base 6
• 5,555,555 = repdigit
• 5,623,756 = number of trees with 22 unlabelled nodes
• 5,702,887 = Fibonacci number
• 5,761,455 = the number of primes under 100,000,000
• 5,764,801 = 2401² = 49⁴ = 7⁸
• 5,882,353 = 588² + 2353²

6,000,000 to 6,999,999

• 6,250,000 = 2500² = 50⁴
• 6,436,343 = 23⁵
• 6,536,382 = Motzkin number
• 6,625,109 = Pell number, Markov number
• 6,666,666 = repdigit
• 6,765,201 = 2601² = 51⁴
• 6,948,496 = 2636², palindromic square

7,000,000 to 7,999,999

• 7,109,376 = 1-automorphic number
• 7,311,616 = 2704² = 52⁴
• 7,453,378 = Markov number
• 7,529,536 = 2744² = 196³ = 14⁶
• 7,652,413 = Largest n-digit pandigital prime
• 7,777,777 = repdigit
• 7,779,311 = A hit song written by Prince and released in 1982 by The Time
• 7,861,953 = Leyland number
• 7,890,481 = 2809² = 53⁴
• 7,906,276 = pentagonal triangular number
• 7,913,837 = Keith number
• 7,962,624 = 24⁵

8,000,000 to 8,999,999

• 8,000,000 = 200³, Used to represent infinity in Japanese mythology
• 8,053,393 = number of prime knots with 17 crossings
• 8,108,731 = repunit prime in base 14
• 8,388,607 = second composite Mersenne number with a prime exponent
• 8,388,608 = 2²³
• 8,389,137 = Leyland number
• 8,399,329 = Markov number
• 8,436,379 = Wedderburn-Etherington number
• 8,503,056 = 2916² = 54⁴
• 8,675,309 = A hit song for Tommy Tutone (also a twin prime with 8,675,311)
• 8,675,311 = Twin prime with 8,675,309
• 8,877,691 = number of nonnegative integers with distinct decimal digits
• 8,888,888 = repdigit
• 8,946,176 = self-descriptive number in base 8
• 8,964,800 = Number of 30-bead necklaces (turning over is allowed) where complements are equivalent

9,000,000 to 9,999,999

• 9,000,000 = 3000²
• 9,069,229 = 13 × 293 × 2,381, Strong pseudoprime to base two, first strong pseudoprime to have a multiplicative order above 100,000 (104,244)
• 9,150,625 = 3025² = 55⁴
• 9,227,465 = Fibonacci number, Markov number
• 9,256,396 = number of 29-bead binary necklaces with beads of 2 colours where the colours may be swapped but turning over is not allowed
• 9,261,000 = 210³
• 9,369,319 = Newman–Shanks–Williams prime
• 9,647,009 = Markov number
• 9,653,449 = square Stella octangula number
• 9,581,014 = n such that n | (3ⁿ + 5)
• 9,663,500 = Initial number of first century xx00 to xx99 that possesses an identical prime pattern to any century with four or fewer digits: its prime pattern of {9663503, 9663523, 9663527, 9663539, 9663553, 9663581, 9663587} is identical to {5903, 5923, 5927, 5939, 5953, 5981, 5987}
• 9,694,845 = Catalan number
• 9,699,690 = eighth primorial
• 9,765,625 = 3125² = 25⁵ = 5¹⁰
• 9,800,817 = equal to the sum of the seventh powers of its digits
• 9,834,496 = 3136² = 56⁴
• 9,865,625 = Leyland number
• 9,926,315 = equal to the sum of the seventh powers of its digits
• 9,938,375 = 215³, the largest 7-digit cube
• 9,997,156 = largest triangular number with 7 digits and the 4,471st triangular number
• 9,998,244 = 3162², the largest 7-digit square
• 9,999,991 = Largest 7-digit prime number
• 9,999,999 = repdigit

Prime numbers

There are 78,498 primes less than 10⁶, where 999,983 is the largest prime number smaller than 1,000,000.

Increments of 10⁶ from 1 million through a 10 million have the following prime counts:

• 70,435 primes between 1,000,000 and 2,000,000.
• 67,883 primes between 2,000,000 and 3,000,000.
• 66,330 primes between 3,000,000 and 4,000,000.
• 65,367 primes between 4,000,000 and 5,000,000.
• 64,336 primes between 5,000,000 and 6,000,000.
• 63,799 primes between 6,000,000 and 7,000,000.
• 63,129 primes between 7,000,000 and 8,000,000.
• 62,712 primes between 8,000,000 and 9,000,000.
• 62,090 primes between 9,000,000 and 10,000,000.

In total, there are 586,081 prime numbers between 1,000,000 and 10,000,000.