Properties of the Number 29716

Twenty-Nine Thousand Seven Hundred Sixteen

Basics

Value: 29715 → 29716 → 29717

Parity: even

Prime: No

Previous Prime: 29683

Next Prime: 29717

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 17 × 19 × 23

Divisors: 1, 2, 4, 17, 19, 23, 34, 38, 46, 68

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010000010100

Octal: 72024

Duodecimal: 15244

Hexadecimal: 7414

Square: 883040656

Square Root: 172.38329385413192

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

Sum of the smallest parts of the partitions of 4n into 4 parts. A238702

Truncated square pyramid numbers: a(n) = ∑_{k = n..2·n} k². A50409

Numbers that are the sum of seven fourth powers in seven or more ways. A345573

Numbers that are the sum of seven fourth powers in exactly seven ways. A345829

a(n) = (n + 1)*(n + 2)*(n + 4)*(n + 8)*(n + 15)/120. A6636

Nonnegative values·of solutions (x, y) to the Diophantine equation x²+(x+119)² = y². A129837

G.f.: ∑_n>=0 (n+1) * xⁿ * (1 + xⁿ)ⁿ. A326002

Expansion of ∑_1<=i<=j q^i+j/( (1-qⁱ)*(1-q^j) )². A374929

Number of compositions of n into parts 1, 7, and 8. A276106

Radicands of pure cubic number fields of type β and subtype M0. A363699