Properties of the Number 20996

Twenty Thousand Nine Hundred Ninety-Six

Basics

Value: 20995 → 20996 → 20997

Parity: even

Prime: No

Previous Prime: 20983

Next Prime: 21001

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 29 × 181

Divisors: 1, 2, 4, 29, 58, 116, 181, 362, 724, 5249

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101001000000100

Octal: 51004

Duodecimal: 10198

Hexadecimal: 5204

Square: 440832016

Square Root: 144.89996549343965

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

Number of partitions of n which represent first player winning Chomp positions. A112471

Prime(a(n)) + ... + prime(a(n)+3) is a square = A051395(n)². A72849

Numbers that are the sum of six fourth powers in five or more ways. A345562

Numbers that are the sum of six fourth powers in exactly five ways. A345817

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element equal to a strict majority of its horizontal, vertical, diagonal and diagonal neighbors, with values 0..2 introduced in row major order. A231315

a(n) = ∑_i=0..n digsum₉(i)³, where digsum₉(i) = A053830(i). A231686

Number of rooted identity trees with n generators. A108523

a(n) = 25·n² - n. A157514

G.f.: ∏_m>0 (1 + x^m + 2!*x^2·m + 3!*x^3·m). A289485

Position of 2310ⁿ among 11-smooth numbers A051038. A372402