Properties of the Number 12568

Twelve Thousand Five Hundred Sixty-Eight

Basics

Value: 12567 → 12568 → 12569

Parity: even

Prime: No

Previous Prime: 12553

Next Prime: 12569

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 1571

Divisors: 1, 2, 4, 8, 1571, 3142, 6284, 12568

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000100011000

Octal: 30430

Duodecimal: 7334

Hexadecimal: 3118

Square: 157954624

Square Root: 112.10709165793214

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of distinct positive integers that can be obtained, starting with the initial interval partition (1, ..., n), by iteratively adding or multiplying together parts until only one part remains. A319850

a(n) = floor((10·n³ + 57·n² + 102·n + 72) / 72). A254875

Euler transform of A373216. A373297

For 1<=x<=n, 1<=y<=n, write gcd(x,y) = u·x+v·y with u,v minimal; a(n) = sum of the values of |v|. A345433

Number T(n,k) of n X n Tesler matrices of nonnegative integers with element sum n+k; triangle T(n,k), n>=1, 0<=k<=n*(n-1)/2, read by rows. A259786

Lexicographically earliest sequence of distinct nonnegative terms such that both a(n) and a(n) * a(n+1) have digits in nondecreasing order. A342266

Numbers whose palindromization is a perfect power. A342942

Partial sum of irregular primes A000928. A132360

Those positive integers n where, when written in binary, there are exactly k number of runs (of either 0's or 1's) each of exactly k length, for all k where 1<=k<=m, for some positive integer m. A175356

Numbers k such that A338338(k) is a prime p that ends a run of three terms in A338338 that are divisible by p. A338344