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Properties of the Number 9960

Nine Thousand Nine Hundred Sixty

Basics

Value: 9959 → 9960 → 9961

Parity: even

Prime: No

Previous Prime: 9949

Next Prime: 9967

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 3 × 3 × 5 × 83

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10011011101000

Octal: 23350

Duodecimal: 5920

Hexadecimal: 26e8

Square: 99201600

Square Root: 99.7997995989972

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

Numbers that can be expressed as the difference of the squares of primes in just three distinct ways. A90782
Triangle T(n,k), n>=1, 0<=k<=n-1, read by rows: T(n,k)/(n-1)! is the coefficient of xk in polynomial pn for the n-th row sequence of A145153. A145142
Numbers k such that σ(k) divides σ(σ(k)). A66961
Triangle T(n,k) of k-block ordered tricoverings of an unlabeled n-set (n >= 3, k = 4..2n). A60492
Number of configurations of the 3-dimensional 3 X 3 X 3 sliding cube puzzle that require a minimum of n moves to be reached, starting with the empty space at one of the enclosing cube corners. A90573
a(n) = 1 + (9960 + (6804 + (2464 + (735 + (175 + (21 + n)*n)*n)*n)*n)*n)*n/5040. A145129
Numbers k such that the odd part of σ(σ(k)) is equal to the odd part of σ(k). A353365
a(n) = number of compositions of n in which the maximum part size is 4. A102
a(1) = 0, a(2) = 4, a(n) = a(n-1) + a(n-2) - 1. A187890
Infinitary 3-nondeficient numbers: numbers k such that isigma(k) >= 3·k, where isigma(k) is the sum of infinitary divisors of k (A049417). A300664