Properties of the Number 58958

Fifty-Eight Thousand Nine Hundred Fifty-Eight

Basics

Value: 58957 → 58958 → 58959

Parity: even

Prime: No

Previous Prime: 58943

Next Prime: 58963

Digit Sum: 35

Digital Root: 8

Palindrome: No

Factorization: 2 × 41 × 719

Divisors: 1, 2, 41, 82, 719, 1438, 29479, 58958

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1110011001001110

Octal: 163116

Duodecimal: 2A152

Hexadecimal: e64e

Square: 3476045764

Square Root: 242.81268500636452

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 1/(1 +x -2·x² -x³ -x⁴ -3·x⁵ +2·x⁶ +2·x⁷ +3·x⁸ +2·x⁹ -3·x¹⁰ -7·x¹¹ -3·x¹² -5·x¹³). A143372

Start with 443; if even, divide by 2; if odd, add next three primes: Orbit of 443 under iterations of A174221, the "PrimeLatz" map. A293978

Expansion of e.g.f. exp(∑_k>=1 q(k)*x^k/k!), where q(k) = number of partitions of k into distinct parts (A000009). A300514

Expansion of ∏_k>=1 (1 - k·x^k) / (1 + x^k). A269339

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, 1), (0, 1, 1), (1, 0, -1), (1, 1, 1)}. A150839

Numbers k such that 3^k + 4 is prime. A58958

Number of ways to write 2·n as p + 2^k + 3^m with p prime and 2^k + 3^m a product of at most two distinct primes, where k and m are nonnegative integers. A304032

Number of nX4 0..3 arrays with some element plus some horizontally, antidiagonally or vertically adjacent neighbor totalling three no more than once. A269139

Number of nX4 0..3 arrays with some element plus some horizontally, antidiagonally or vertically adjacent neighbor totalling three exactly once. A269148