Properties of the Number 12741

Twelve Thousand Seven Hundred Forty-One

Basics

Value: 12740 → 12741 → 12742

Parity: odd

Prime: No

Previous Prime: 12739

Next Prime: 12743

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 31 × 137

Divisors: 1, 3, 31, 93, 137, 411, 4247, 12741

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000111000101

Octal: 30705

Duodecimal: 7459

Hexadecimal: 31c5

Square: 162333081

Square Root: 112.87603820120549

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

Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k increasing even cycles (0<=k<=n). A cycle (b(1), b(2), ...) is said to be increasing if, when written with its smallest element in the first position, it satisfies b(1)<b(2)<b(3)<... . A cycle is said to be even if it has an even number of entries. For example, the permutation (18)(2347)(569) has 2 increasing even cycles. A186764

Composites whose prime factorization in base 6 is an anagram of the number in base 6. A260050

Number of balanced reduced multisystems whose atoms cover an initial interval of positive integers with multiplicities equal to the prime indices of n. A318846

a(n) = ∑_{k=0..floor(n/3)} binomial(3·n-3·k-1,n-3·k). A371770

Position of [n, n-1, ..., 2, 1] in Mathematica-ordered list of partitions of n(n+1)/2. A238639

Ulam's spiral (SSE spoke). A143839

G.f.: ∑_n>=0 a(n)*xⁿ/n!² = ∏_n>=1 (1 + xⁿ/n!²). A183229

Principal diagonal of the convolution array A213783. A213759

a(n) = ∑_k=1..n k·rad(k). A350996

McKay-Thompson series of class 31A for Monster. A58628