Properties of the Number 13965

Thirteen Thousand Nine Hundred Sixty-Five

Basics

Value: 13964 → 13965 → 13966

Parity: odd

Prime: No

Previous Prime: 13963

Next Prime: 13967

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 7 ² × 19

Divisors: 1, 3, 5, 7, 15, 19, 21, 35, 49, 57

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11011010001101

Octal: 33215

Duodecimal: 80B9

Hexadecimal: 368d

Square: 195021225

Square Root: 118.17360111293893

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 T(n,m) of numbers of m-block T₀-covers of a labeled n-set, m = 0..2ⁿ - 1. A59202

a(n) = n*(31·n + 1)/2. A22289

Numbers n for which nontrivial positive magic squares of exactly 10 different orders with magic sum n exist. For a definition of nontrivial positive magic squares, see A125005. A125017

Fifth column (m=4) of (1,6)-Pascal triangle A096956. A96958

Coefficients in the expansion of C⁴/B⁵, in Watson's notation of page 106. A160506

Odd numbers n such that 2n/σ(n) - 1 = 1/x for some positive integer x. A222263

Numbers k such that the harmonic mean of the divisors of k is the square of a rational number. A74266

Index where prime(n) appears as a term in A379442. A379558

Expansion of g.f. 1/((1-x)*(1-2·x)*(1-6·x)). A16200

Numbers that are equal to the sum of their iterated infinitary analog of the totient function A384247. A385746