Properties of the Number 12976

Twelve Thousand Nine Hundred Seventy-Six

Basics

Value: 12975 → 12976 → 12977

Parity: even

Prime: No

Previous Prime: 12973

Next Prime: 12979

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁴ × 811

Divisors: 1, 2, 4, 8, 16, 811, 1622, 3244, 6488, 12976

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11001010110000

Octal: 31260

Duodecimal: 7614

Hexadecimal: 32b0

Square: 168376576

Square Root: 113.91224692718514

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

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f.: exp(∑_j>=1 (-1)^j-1*binomial(-k,j-1)*x^j/j). A291709

Row sums of triangle A046089. A49376

Irregular triangle: T(n,k) is the number of permutations in S_n that have exactly k occurrences of the pattern 4213. 0 <= k <= A342646(n). A342840

Triangle T(n,k), n >= 2, 0 <= k <= floor(n²/2)-2·n+2, read by rows, where T(n,k) is the number of 2*(k+2·n-2)-cycles in the n X n grid graph which pass through four corners ((0,0), (0,n-1), (n-1,n-1), (n-1,0)). A333668

McKay-Thompson series of class 24B for Monster. A58572

a(1)=1. For m >= 0 and 1 <= k <= 2^m, a(2^m +k) = a(k) + ∑_j=1..2^m a(j). A139485

Length of longest prefix of A096095(n) that is also a prefix of A096095(n+1). A197945

McKay-Thompson series of class 24B for the Monster group with a(0) = 2. A212771

Ramanujan numbers (A000594) read mod 16384. A126824

Triangle read by rows: T(n,k) is the number of peakless Motzkin paths of length n having trapezoid weight k (n>=0, k>=0). A171852