Properties of the Number 66562

Sixty-Six Thousand Five Hundred Sixty-Two

Basics

Value: 66561 → 66562 → 66563

Parity: even

Prime: No

Previous Prime: 66553

Next Prime: 66569

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 × 23 × 1447

Divisors: 1, 2, 23, 46, 1447, 2894, 33281, 66562

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000010000000010

Octal: 202002

Duodecimal: 3262A

Hexadecimal: 10402

Square: 4430499844

Square Root: 257.9961240018927

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) = 16·a(n-1) + a(n-2), starting with a(0) = 2 and a(1) = 16. A90305

Smallest number > 1 equal to sum of n-th powers of its base-5 digits, or 0 if no such number exists (written in base 10). A33837

Base 5 perfect digital invariants (written in base 10): numbers equal to the sum of the k-th powers of their base-5 digits, for some k. A162222

Greatest integer equal to the sum of the n-th powers of its base-5 digits (written in base 10). A162224

Expansion of ∏_m>=1 (1+x^m)⁵. A22570

Number of (n+1) X 3 binary arrays with every 2 X 2 subblock commuting with each of its horizontal and vertical 2 X 2 subblock neighbors. A186455

Positive numbers whose square starts and ends with exactly 44, and no 444. A348831

Smallest Bell number (A000110) divisible by n, if such a number exists, otherwise 0. A66562

Numerators of continued fraction convergents to sqrt(585). A42120

Denominators of continued fraction convergents to sqrt(585). A42121