Properties of the Number 58345

Fifty-Eight Thousand Three Hundred Forty-Five

Basics

Value: 58344 → 58345 → 58346

Parity: odd

Prime: No

Previous Prime: 58337

Next Prime: 58363

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 5 × 7 × 1667

Divisors: 1, 5, 7, 35, 1667, 8335, 11669, 58345

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

9108 Try Today's Challenge

Representations

Binary: 1110001111101001

Octal: 161751

Duodecimal: 29921

Hexadecimal: e3e9

Square: 3404139025

Square Root: 241.547096856907

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 alternating strict compositions of n. Number of alternating (up/down or down/up) permutations of strict integer partitions of n. A349054

Expansion of e.g.f. LambertW(x / (1 - 2·x)). A376106

G.f.: ∑_n>=0 (n+1)*(n+2)*(n+3)*(n+4)/4! * xⁿ * (1 + xⁿ)ⁿ. A326005

a(0) = 1; a(n) = ∑_{k=0..floor((n-1)/2)} binomial(n-k,k) * a(n-2·k-1). A352864

Denominator of 4/(1 + 1²/(3 + 2²/(5 + 3²/(7 + ... + (n-1)²/(2·n-1) )))). A345259

100-gonal numbers: a(n) = 98·n*(n-1)/2 + n. A261276

Irregular table read by rows: T(n,k) is the start of the first run of exactly k consecutive odd numbers having exactly n divisors, or 0 if no such run exists. A319046

a(1) = 1; a(n+1) = lcm(∑_k=1..n a(k), ∏_k=1..n a(k)). A58345

Numerator of 4/(1 + 1²/(3 + 2²/(5 + 3²/(7 + ... + (n-1)²/(2·n-1) )))). A345125