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Properties of the Number 20937

Twenty Thousand Nine Hundred Thirty-Seven

Basics

Value: 20936 → 20937 → 20938

Parity: odd

Prime: No

Previous Prime: 20929

Next Prime: 20939

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 997

Divisors: 1, 3, 7, 21, 997, 2991, 6979, 20937

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 101000111001001

Octal: 50711

Duodecimal: 10149

Hexadecimal: 51c9

Square: 438357969

Square Root: 144.6962335377117

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

G.f.: ∏k>=1 1/(1-xk)2·k-1. A253289
T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302889
Numbers k such that k and 5·k, taken together, are pandigital. A115925
G.f.: exp( ∑n>=1 A002129(n2)*xn/n ), where A002129(n) is the excess of sum of odd divisors of n over sum of even divisors of n. A225925
Number of (w,x,y,z) with all terms in {1,...,n} and 2w=x+y+z. A212068
Number of triples (w,x,y) with all terms in {0,...,n} and |w-x| + |x-y| <= w+x+y. A213481
a(n) = 58·n2 - 1. A158668
Number of nX5 0..1 arrays with every element equal to 0, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302886
Number of 5 X n 0..1 arrays with every element equal to 0, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302892
Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 96. A31594