Properties of the Number 65136

Sixty-Five Thousand One Hundred Thirty-Six

Basics

Value: 65135 → 65136 → 65137

Parity: even

Prime: No

Previous Prime: 65129

Next Prime: 65141

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 23 × 59

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 23, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1111111001110000

Octal: 177160

Duodecimal: 31840

Hexadecimal: fe70

Square: 4242698496

Square Root: 255.21755425518833

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

G.f.: ∑_k>=0 A000041(k) * x^k / ∑_k>=0 A000009(k)² * x^k. A304987

a(1) = 1; for n > 1, a(n) is the smallest unused positive number such that sopfr(|a(n) - a(n-1)|) = sopfr(a(n) + a(n-1)) and ω(|a(n) - a(n-1)|) = ω(a(n) + a(n-1)), where sopfr(k) is the sum of the primes dividing k, with repetition. A370503

Numbers n such that n = π(n)*k + 1 for some k. A65136

Table(n,k) of binary strings of length n which have the same number of k long 0...00 and 0...01 substrings, where n>=0 and k>=2, read by downwards antidiagonals. A371692