Properties of the Number 45759

Forty-Five Thousand Seven Hundred Fifty-Nine

Basics

Value: 45758 → 45759 → 45760

Parity: odd

Prime: No

Previous Prime: 45757

Next Prime: 45763

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 2179

Divisors: 1, 3, 7, 21, 2179, 6537, 15253, 45759

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011001010111111

Octal: 131277

Duodecimal: 22593

Hexadecimal: b2bf

Square: 2093886081

Square Root: 213.91353393369013

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 stable n-celled patterns ("still lifes") in Conway's Game of Life, up to rotation and reflection. A19473

Floor( e * (3/2)ⁿ ). A81225

Number of binary strings of length n with no substrings equal to 0001, 0100, or 1110. A164468

Maris-McGwire numbers: numbers k such that f(k) = f(k+1), where f(k) = sum of digits of k + sum of digits of prime factors of k (including multiplicities). A45759

a(n) is the smallest number k for which the smallest part of the symmetric representation of σ of k, SRS(k), has size n. If no such number exists, a(n) = -1. A386608