Properties of the Number 67281

Sixty-Seven Thousand Two Hundred Eighty-One

Basics

Value: 67280 → 67281 → 67282

Parity: odd

Prime: No

Previous Prime: 67273

Next Prime: 67289

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 41 × 547

Divisors: 1, 3, 41, 123, 547, 1641, 22427, 67281

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000011011010001

Octal: 203321

Duodecimal: 32B29

Hexadecimal: 106d1

Square: 4526732961

Square Root: 259.38581302762105

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

q-factorial numbers 3!_q. A69778

p(p²-p+1) as p runs through the primes. A83558

Compound filter: a(n) = P(σ(n), σ(2n)), where P(n,k) is sequence A000027 used as a pairing function, and σ is the sum of divisors (A000203). A286359

a(n) = 80·n² + 1. A158776

Smallest integer m = b·c which satisfies (b + c)*n = m - 1. A364169

a(n) = m is the least m = b·c > a(n-1) such that (b+c)*n = m-1 where 1 < b <= c < m. A364171

a(n) = ∑_k=1..n sigma₂( n/gcd(k,n) ). A372226

The number of permutations of length n sortable by 3 prefix reversals (in the pancake sorting sense). A228398

Number of permutations of {1,2,3,...,n} where the elements of n are considered indistinguishable if they differ by a power of 2 (for example 3, 12 and 24 are all considered equivalent). A67281