Properties of the Number 46656

Forty-Six Thousand Six Hundred Fifty-Six

Basics

Value: 46655 → 46656 → 46657

Parity: even

Prime: No

Previous Prime: 46649

Next Prime: 46663

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁶ × 3 ⁶

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1011011001000000

Octal: 133100

Duodecimal: 23000

Hexadecimal: b640

Square: 2176782336

Square Root: 216

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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

The cubes: a(n) = n³. A578

a(n) = nⁿ; number of labeled mappings from n points to themselves (endofunctions). A312

Sixth powers: a(n) = n⁶. A1014

Powers of 6: a(n) = 6ⁿ. A400

a(1)=1, a(n) = n·a(floor(n/2)). A98844

a(n) = (n!)^2·n. A185141

12-almost primes (generalization of semiprimes). A69273

Numbers k such that Sum_i ( e(i)/p(i) ) is an integer, where the prime factorization of k is Product_i ( p(i)^e(i) ). A72873

Triangle read by rows: coefficients T(n,k) of a binomial decomposition of 1 as ∑_k=0..n T(n,k)*binomial(n,k). A244116

Triangle read by rows: terms of a binomial decomposition of 1 as Sum(k=0..n)T(n,k). A244117