Properties of the Number 12912

Twelve Thousand Nine Hundred Twelve

Basics

Value: 12911 → 12912 → 12913

Parity: even

Prime: No

Previous Prime: 12911

Next Prime: 12917

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 269

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001001110000

Octal: 31160

Duodecimal: 7580

Hexadecimal: 3270

Square: 166719744

Square Root: 113.63098169073433

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

Dirichlet convolution of the integer partition numbers A000041 with the number of divisors function A000005. A323766

Expansion of e.g.f. 1/(1 - log(1 + x))³. A354120

Least number k such that (n!+k)/n and (n!-k)/n are both prime. A245697

Number of closed knight's tour diagrams of a 3 X n chessboard that have "Bergholtian symmetry". A169766

Triangle read by rows: T(n,k) is the number of 2-compositions of n having k columns in which the top entry is equal to the bottom entry (0<=k<=floor(n/2)). A181299

Total sum of parts <= n of multiplicity 0 in all partitions of n. A213679

G.f. A(x) satisfies: A(x) = 1 + x·A(x)² - x²/A(x)³. A295498

a(n) is the smallest number k such that A358351(k) = n. A358352

a(n) = a(n-1) + 2·a(n-2) - 2·a(n-3) + a(n-5). A116157

a(0)=1; a(1)=1; for n >= 2, a(n) = a(n-A000120(n)) + a(n-1-A023416(n)). A297216