Properties of the Number 68613

Sixty-Eight Thousand Six Hundred Thirteen

Basics

Value: 68612 → 68613 → 68614

Parity: odd

Prime: No

Previous Prime: 68611

Next Prime: 68633

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 22871

Divisors: 1, 3, 22871, 68613

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000110000000101

Octal: 206005

Duodecimal: 33859

Hexadecimal: 10c05

Square: 4707743769

Square Root: 261.94083301386974

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

T(n,k)=Number of nXk 0..1 arrays with each 1 horizontally or vertically adjacent to 1, 2 or 3 1s. A295416

Numerators of continued fraction convergents to sqrt(710). A42366

a(n) is the number of 5 element sets of distinct integer-sided trapezoids whose base angles are 60 degrees that fill an equilateral triangular grid of side n units without partitioning a triangle into 3 element sets of trapezoids. A391452

Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 1 3 6 or 7. A252152

Number of n X 3 0..1 arrays with each 1 horizontally or vertically adjacent to 1, 2 or 3 1s. A295411

Number of nX6 0..1 arrays with each 1 horizontally or vertically adjacent to 1, 2 or 3 1s. A295414

Path of a knight's tour on an infinite chessboard. A68613

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 1 3 6 or 7. A252157