Properties of the Number 29905

Twenty-Nine Thousand Nine Hundred Five

Basics

Value: 29904 → 29905 → 29906

Parity: odd

Prime: No

Previous Prime: 29881

Next Prime: 29917

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 5 × 5981

Divisors: 1, 5, 5981, 29905

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010011010001

Octal: 72321

Duodecimal: 15381

Hexadecimal: 74d1

Square: 894309025

Square Root: 172.93062192682936

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

Number of integer partitions of n without an alternating permutation. A345165

Positive numbers y such that y² is of the form x²+(x+967)² with integer x. A159701

a(n) = 49n² - 28n - 20. A118058

G.f. A(x) = F(0,x) where F(0,x) = 1/(1 - x·F(1,x)), F(1,x) = 1/(1 - (2·x*F(2,x))²)^1/2, F(2,x) = 1/(1 - (3·x*F(3,x))³)^1/3, ..., so that F(n-1,x)ⁿ = 1/(1 - (n·x*F(n,x))ⁿ) for n>=0. A243161

a(n) = n! * ∑_{k=0..floor(n/3)} (-1)^k * (k+1)^k-1 / (k! * (n-3·k)!). A361917

r(n), where exists one-parameter family of strategic partitions (k+p(n)+q(n), k+q(n), r(n)) for k = 0,1,2,... in Chomp. A29905