Properties of the Number 12965

Twelve Thousand Nine Hundred Sixty-Five

Basics

Value: 12964 → 12965 → 12966

Parity: odd

Prime: No

Previous Prime: 12959

Next Prime: 12967

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 5 × 2593

Divisors: 1, 5, 2593, 12965

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11001010100101

Octal: 31245

Duodecimal: 7605

Hexadecimal: 32a5

Square: 168091225

Square Root: 113.86395390991831

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 ways to choose a strict partition of each part of a strict partition of n. A279785

Numbers k such that numerator(Bernoulli(2·k)/(2·k)) is different from numerator(Bernoulli(2·k)/(2·k*(2·k-1))). A90495

E.g.f.: ∑_n>=0 ((1+x)ⁿ - 1)ⁿ / n!. A192935

Number of integer solutions to (x₁)² + (x₂)² + ... + (x₁₀)² <= n. A341399

Related to series-parallel networks. A6350

McKay-Thompson series of class 12F for Monster. A58484

Numbers of the form ((6k+5)²+9)/2 or 2(3k+4)²-9. A214493

a(n) = numerator of AM(n)-HM(n), where AM(n) and HM(n) are the arithmetic and harmonic means of the first n positive integers. A368372

a(1)=1. For m >= 0 and 1 <= k <= 2^m, a(2^m +k) = a(k) + ∑_j=1..2^m a(j). A139485

Hypotenuses c of primitive Pythagorean Triples (a,b,c) such that 2·a+1, 2·b+1 and 2·c+1 are primes. A165238