Properties of the Number 12661

Twelve Thousand Six Hundred Sixty-One

Basics

Value: 12660 → 12661 → 12662

Parity: odd

Prime: No

Previous Prime: 12659

Next Prime: 12671

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 11 × 1151

Divisors: 1, 11, 1151, 12661

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000101110101

Octal: 30565

Duodecimal: 73B1

Hexadecimal: 3175

Square: 160300921

Square Root: 112.52110913068712

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

Sorted positions of first appearances in A057820, the sequence of first differences of prime-powers. A376340

a(0) = 0. If n is odd, a(n) = a(n-1) + n, otherwise a(n) = a(n-1) * n. A77138

Expansion of series related to Liouville's Last Theorem: g.f. ∑_t>0 (-1)^t+1 *x^t*(t+1/2) / ( (1-x^t)⁸ *∏_i=1..t (1-xⁱ) ). A59825

a(n) = r·a(ceiling(n/2))+s·a(floor(n/2)) with a(1)=1 and (r,s)=(4,1). A268527

Number A(n,k) of up-down sequences with k copies each of 1,2,...,n; square array A(n,k), n>=0, k>=0, read by antidiagonals. A275784

Triangle read by rows: T(n, k) = n! * 3^k * hypergeom([-k], [-n], 1/3). A375447

Integers k such that k + φ(k) + φ(φ(k)) is a fourth power. A116041

Nonprime numbers with all divisors starting and ending with digit 1. A208261

a(n) = ∑_k=0..n binomial(2·n-2·k,n-k)² * binomial(n,k)². A36916

Molien series for group G_1,2⁸ of order 1536. A51462