Properties of the Number 29575

Twenty-Nine Thousand Five Hundred Seventy-Five

Basics

Value: 29574 → 29575 → 29576

Parity: odd

Prime: No

Previous Prime: 29573

Next Prime: 29581

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 5 ² × 7 × 13 ²

Divisors: 1, 5, 7, 13, 25, 35, 65, 91, 169, 175

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111001110000111

Octal: 71607

Duodecimal: 15147

Hexadecimal: 7387

Square: 874680625

Square Root: 171.97383521919838

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 n that are the hypotenuse of exactly 12 distinct integer-sided right triangles, i.e., n² can be written as a sum of two squares in 12 ways. A97226

Number of integer partitions of n such that neither the run-lengths nor the negated run-lengths are unimodal. A332640

Numbers n such that φ(n)=2*φ(n-1). A171271

Expansion of ∏_n>=1 (1 - x^5·n)²⁴/(1 - xⁿ)²⁵ in powers of x. A278557

Coefficient of x⁴ in (1-x-x²)^-n. A6504

Successive integers produced by Conway's PRIMEGAME using Kilminster's Fractran program with only nine fractions. A183132

a(n) = (8·n+1)*(8·n+7). A1533

Array read by antidiagonals for k,n>=0: T(n,k) = number of tilings of a 2k X n rectangle using dominos and 2 X 2 right triangles. A362297

Number of tilings of a 3 X 2n rectangle using dominos and 2 X 2 right triangles. A362299

Expansion of ∏_k>=1 (1 - x^7·k)²⁴/(1 - x^k)²⁵ in powers of x. A282924