Properties of the Number 67696

Sixty-Seven Thousand Six Hundred Ninety-Six

Basics

Value: 67695 → 67696 → 67697

Parity: even

Prime: No

Previous Prime: 67679

Next Prime: 67699

Digit Sum: 34

Digital Root: 7

Palindrome: No

Factorization: 2 ⁴ × 4231

Divisors: 1, 2, 4, 8, 16, 4231, 8462, 16924, 33848, 67696

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000100001110000

Octal: 204160

Duodecimal: 33214

Hexadecimal: 10870

Square: 4582748416

Square Root: 260.18454988719066

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

Triangle read by rows: T(n,k) is the number of hill-free Dyck paths of semilength n and having k UUDD's, where U=(1,1) and D=(1,-1) (0<=k<=floor(n/2), n>=2). A hill in a Dyck path is a peak at level 1. A105640

Record numbers of grid points in a square lattice covered by a continuously growing circular disk if the center of the disk is chosen to cover the maximum possible number of grid points. A346993

Numbers k such that prime(k) == -1 (mod σ(k)). A67696