Properties of the Number 9996

Nine Thousand Nine Hundred Ninety-Six

Basics

Value: 9995 → 9996 → 9997

Parity: even

Prime: No

Previous Prime: 9973

Next Prime: 10007

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 7 ² × 17

Divisors: 1, 2, 3, 4, 6, 7, 12, 14, 17, 21

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10011100001100

Octal: 23414

Duodecimal: 5950

Hexadecimal: 270c

Square: 99920016

Square Root: 99.9799979995999

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 formed from even-numbered columns of triangle of expansions of powers of·in terms of Chebyshev polynomials U_n(x). A39599

4-dimensional pyramidal numbers: a(n) = (3·n+1)*binomial(n+2, 3)/4. Also Stirling2(n+2, n). A1296

a(n) = 7·binomial(2n,n-3)/(n+4). A588

a(n) = (-6·n⁷ + 154·n⁶ - 1533·n⁵ + 7525·n⁴ - 18879·n³ + 22561·n² - 7302·n + 2520)/2520. A161710

a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 3, with initial terms 3,1. A25230

Number A(n,k) of standard Young tableaux of shape [n·k,n]; square array A(n,k), n>=0, k>=0, read by antidiagonals. A214776

Numbers in which 9 outnumbers all other digits together. A292739

a(n) = Product{k>=0} (1 + floor(n/3^k)). A132327

T(n,k)=Number of nXk binary arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling two exactly once. A268886

Numbers k such that φ(x) = k has exactly 11 solutions. A60674