Properties of the Number 96680

Ninety-Six Thousand Six Hundred Eighty

Basics

Value: 96679 → 96680 → 96681

Parity: even

Prime: No

Previous Prime: 96671

Next Prime: 96697

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 5 × 2417

Divisors: 1, 2, 4, 5, 8, 10, 20, 40, 2417, 4834

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

5184 Try Today's Challenge

Representations

Binary: 10111100110101000

Octal: 274650

Duodecimal: 47B48

Hexadecimal: 179a8

Square: 9347022400

Square Root: 310.9340766143203

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 (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column minus the sum of the minimums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A257154

Number of (n+2)X(3+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column minus the sum of the minimums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A257149

Number of (2+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column minus the sum of the minimums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A257155

A card-arranging problem: values of n such that there exists more than one permutation p₁, ..., p_n of 1, ..., n such that i + p_i is a cube for every i. A96680

a(1) = 102735, a(n) = prime(n-1)*a(n-1) but products that are not in A010784 are first reduced as in A320486 (see comments); continue until zero is reached. A321149