Properties of the Number 12446

Twelve Thousand Four Hundred Forty-Six

Basics

Value: 12445 → 12446 → 12447

Parity: even

Prime: No

Previous Prime: 12437

Next Prime: 12451

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 7 ² × 127

Divisors: 1, 2, 7, 14, 49, 98, 127, 254, 889, 1778

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000010011110

Octal: 30236

Duodecimal: 7252

Hexadecimal: 309e

Square: 154902916

Square Root: 111.56164215356459

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 bracelets (turnover necklaces) of n beads of 2 colors, 5 of them black. A32279

Numbers k such that 3·k is a partition number. A213365

T(n,k) = Number of n X k 0..1 arrays with every element unequal to 1, 2, 3, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A316740

Expansion of ∑_k>=1 ((1 + k·x^k)^k - 1). A327238

Numbers m such that the GCD of the x's that satisfy σ(x) = m is 4. A241649

G.f.: (1+x)/∏_m>0 (1 - x^m). A84376

E.g.f. satisfies A(x) = (1+x)^A(x^x). A362794

Expansion of ∏_k>=1 1 / (1 - x^{2·k - 1})^{k*(3·k - 2}). A294691

Riordan array (1/(1-2·x), x·C(x)) where C(x) is the o.g.f. of Catalan numbers A000108. A247023

Expansion of e.g.f. 1 / (1 - x)^cosh(x). A351881