Properties of the Number 12657

Twelve Thousand Six Hundred Fifty-Seven

Basics

Value: 12656 → 12657 → 12658

Parity: odd

Prime: No

Previous Prime: 12653

Next Prime: 12659

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 4219

Divisors: 1, 3, 4219, 12657

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000101110001

Octal: 30561

Duodecimal: 73A9

Hexadecimal: 3171

Square: 160199649

Square Root: 112.50333328395207

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 n X n permutation matrices in which the sums of the entries of each NorthEast-SouthWest diagonal are 0 or 1. A99152

53 'Reverse and Add' steps are needed to reach a palindrome. A65320

Sum of the second largest parts of the partitions of n into 9 parts. A326472

Triangle read by rows: matrix cube of the Stirling-1 triangle A008275. A39815

T(n,k)=Number of nXk 0..1 arrays with rows, antidiagonals and columns unimodal. A223637

p²-p+1 central polygonal numbers with prime indices A002061(prime(n)). A119959

Triangle read by rows: T(n,k) is the number of permutations p of {1,2,...,n} such that the set {p(i)-i, i=1,2,...,n} has exactly k elements (1<=k<=n). A125182

Numbers n such that Q(sqrt(n)) has class number 9. A218041

Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 470", based on the 5-celled von Neumann neighborhood. A282422

Array read by antidiagonals. Rows are the numerators of consecutive harmonic transforms starting with a first row 1, 1, 1, .... A229556