Properties of the Number 29751

Twenty-Nine Thousand Seven Hundred Fifty-One

Basics

Value: 29750 → 29751 → 29752

Parity: odd

Prime: No

Previous Prime: 29741

Next Prime: 29753

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 47 × 211

Divisors: 1, 3, 47, 141, 211, 633, 9917, 29751

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010000110111

Octal: 72067

Duodecimal: 15273

Hexadecimal: 7437

Square: 885122001

Square Root: 172.48478193742196

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

Expansion of g.f. (1-2·x+51·x²)/(1-x)³. A257352

Number of ways to use the elements of {1,..,k}, 0<=k<=2n, once each to form a collection of n (possibly empty) sets, each with at most 2 elements. A105748

a(n) = floor(e^n/e). A61481

Numbers which are both lucky and pentagonal. A128511

a(n) = 20 + floor( (1 + ∑_j=1..n-1 a(j)) / 2 ). A120145

Pentagonal numbers which are products of three distinct primes. A381650

Pentagonal numbers penta(n) = (p + q + r)/3 which are the arithmetic mean of three consecutive primes such that p < penta(n) < q < r. A234532

Indices that give distinct values of A350090 in the order in which they appear. A350193

Average θ series of odd unimodular lattices in dimension 12. A29751