Properties of the Number -12609

Twelve Thousand Six Hundred Nine

Basics

Value: -12610 → -12609 → -12608

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 467

Divisors: 1, 3, 9, 27, 467, 1401, 4203, 12609

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -11000101000001

Octal: -30501

Duodecimal: -7369

Hexadecimal: -3141

Square: 158986881

Square Root: 112.2898036332774

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 winning length n strings with a 9-symbol alphabet in "same game". A65242

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock trace equal to some horizontal or vertical neighbor 2X2 subblock trace. A185845

Growth series for affine Coxeter group (or affine Weyl group) D₄. A266759

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock trace equal to exactly one or two horizontal and vertical neighbor 2X2 subblock traces. A187140

T(n,k)=Number of -k..k arrays of length n with the sum ahead of each element differing from the sum following that element by k or less. A221967

a(n) = ∑_k=0..n C(2k+1,k)*C(2k+1,n-k) ; equals row 1 of square array A137634; also equals the convolution of A137635 and A073157. A137636

Square array where T(n,k) = ∑_j=0..k C(n+2·j,j)*C(n+2·j,k-j), read by antidiagonals. A137634

a(n) = ∑_k=0..n k^k * binomial(n,k)ⁿ, with a(0)=1. A336213

Indices where the cumulative sum of cos(2k+1)^2k+1 reaches a record low value. A389560

A sixth-order linear divisibility sequence: a(n+6) = -3·a(n+5) - 5·a(n+4) - 5·a(n+3) - 5·a(n+2) - 3·a(n+1) - a(n). A5120