Properties of the Number 20772

Twenty Thousand Seven Hundred Seventy-Two

Basics

Value: 20771 → 20772 → 20773

Parity: even

Prime: No

Previous Prime: 20771

Next Prime: 20773

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 577

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 577

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101000100100100

Octal: 50444

Duodecimal: 10030

Hexadecimal: 5124

Square: 431475984

Square Root: 144.12494579357175

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 T(n,k) of permutations of [n] with exactly k occurrences of the consecutive step pattern up, down, down; triangle T(n,k), n>=0, 0<=k<=max(0,floor((n-1)/3)), read by rows. A242819

Numbers that are the sum of eight fourth powers in exactly eight ways. A345840

Numbers k such that A003415(k) == A276085(k) (mod 2310), where A003415 is the arithmetic derivative and A276085 is the primorial base log-function. A391864

a(n) = 16n² + n. A157474

Numbers n such that for some m, A166133(m)=n, A166133(m+1)=n²-1, in increasing order. A256407

Denominators of continued fraction convergents to sqrt(936). A42811

a(n) = n³+n for odd n, (n³+n)*3/2 for even n: Row sums of A093915. A93917

Numbers n such that for some m, A166133(m)=n, A166133(m+1)=n²-1, in order of increasing m. A256406

a(n) = 64·n² + 2·n. A158070

a(n) = 1296·n² + 36. A158739