Properties of the Number 12985

Twelve Thousand Nine Hundred Eighty-Five

Basics

Value: 12984 → 12985 → 12986

Parity: odd

Prime: No

Previous Prime: 12983

Next Prime: 13001

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 5 × 7 ² × 53

Divisors: 1, 5, 7, 35, 49, 53, 245, 265, 371, 1855

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11001010111001

Octal: 31271

Duodecimal: 7621

Hexadecimal: 32b9

Square: 168610225

Square Root: 113.95174417269794

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, k, m) = (m*(n-k) + 1)*T(n-1, k-1, m) + (m·k + 1)*T(n-1, k, m) - m·k*(n-k)*T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1 and m = 1, read by rows. A157152

Rhonda numbers to base 10. A99542

Zero, together with positive numbers k such that prime(k) - k is a square. A64370

Start with 83; if even, divide by 2; if odd, add next three primes: Orbit of 83 under iterations of A174221, the "PrimeLatz" map. A293979

Consecutive states of the linear congruential pseudo-random number generator 259·s mod 2¹⁵ when started at s=1. A384194

Numbers n such that prime(n) - n is a perfect power. A107607

Trajectory of 86 under repeated application of the map k -> A320486(k²). A321011

T(n, k) = [x^k] n! [tⁿ] 1/(exp((V*(2 + V))/(4·t))*sqrt(1 + V)) where V = W(-2·t*x) and W denotes the Lambert function. Table read by rows, T(n, k) for 0 <= k <= n. A343805

a(n) = ∑_{k=0..floor(n/2)} binomial(k+2,2) * binomial(k,n-2·k)². A377146

a(n) = (p-1)! mod p² where p = n-th prime. A112660