Properties of the Number 56007

Fifty-Six Thousand Seven

Basics

Value: 56006 → 56007 → 56008

Parity: odd

Prime: No

Previous Prime: 56003

Next Prime: 56009

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 ² × 127

Divisors: 1, 3, 7, 9, 21, 49, 63, 127, 147, 381

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101101011000111

Octal: 155307

Duodecimal: 284B3

Hexadecimal: dac7

Square: 3136784049

Square Root: 236.65798106127755

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

Numbers k such that ∑_i=1..k i⁹ divides ∏_i=1..k i⁹. A166609

Expansion of 1/∏_k>=1 (1 - x^k)^{valuation(k,4} + 1). A373295

G.f.: (x+4·x³+x⁵)/((1-x)²*(1-x²)²*(1-x³)). A83707

Triangle of the elementwise product of binomial coefficients with q-binomial coefficients [n,k] for q = 2. A157638

Difference between 2ⁿ and largest square strictly less than 2ⁿ. A56007