Properties of the Number 58601

Fifty-Eight Thousand Six Hundred One

Basics

Value: 58600 → 58601 → 58602

Parity: odd

Prime: Yes

Previous Prime: 58579

Next Prime: 58603

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 58601

Divisors: 1, 58601

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110010011101001

Octal: 162351

Duodecimal: 29AB5

Hexadecimal: e4e9

Square: 3434077201

Square Root: 242.0764342103543

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

a(n) = ∑_k=0..n C(n,3k)². A119363

a(n) = Sum{k=0..n} C(n,3k+1)². A139468

Primes whose position in the Wythoff array is immediately followed by a prime both in the next column and the next row. A352537

Primes obtained as a right concatenation of more than one consecutive even numbers and 1. A68706

Primes that are perimeter² + hypotenuse² of a Pythagorean triple. A391598

Number of active (ON, black) cells at stage 2ⁿ-1 of the two-dimensional cellular automaton defined by "Rule 603", based on the 5-celled von Neumann neighborhood. A272833

a(n) is the number of integers that can be represented in a 7-segment display by using only n segments (version A006942). A350437

McKay-Thompson series of class 27b for the Monster group. A58601