Properties of the Number 65807

Sixty-Five Thousand Eight Hundred Seven

Basics

Value: 65806 → 65807 → 65808

Parity: odd

Prime: No

Previous Prime: 65789

Next Prime: 65809

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 7 ² × 17 × 79

Divisors: 1, 7, 17, 49, 79, 119, 553, 833, 1343, 3871

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000100001111

Octal: 200417

Duodecimal: 320BB

Hexadecimal: 1010f

Square: 4330561249

Square Root: 256.5287508253217

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

Integers of the form 8k + 7 that can be written as a sum of four distinct squares of the form m, m + 1, m + 3, m + 5, where m == 2 (mod 4). A243580

a(n+1) = n·a(n) - (-1)ⁿ. A3048

a(1) = 1; for n>1, a(n) = n·a(n-1) + 1 if n is a prime else a(n) = n·a(n-1) - 1. A93463

a(n) = ∑_k=1..n k²*tau₃(k), where tau₃ is A007425. A319088

Numbers whose base-16 representation has exactly 5 runs. A43678

Let M be the 3 X 3 matrix [0 1 0 / 0 0 1 / 7 -35 21]. Take Mⁿ * [1 1 1] = [p q r]; then a(n-1), a(n), a(n+1) = -p, -q, -r respectively. A94257

Squares with a smaller square as final digits. A65807