Properties of the Number 20444

Twenty Thousand Four Hundred Forty-Four

Basics

Value: 20443 → 20444 → 20445

Parity: even

Prime: No

Previous Prime: 20443

Next Prime: 20477

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 19 × 269

Divisors: 1, 2, 4, 19, 38, 76, 269, 538, 1076, 5111

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 100111111011100

Octal: 47734

Duodecimal: B9B8

Hexadecimal: 4fdc

Square: 417957136

Square Root: 142.98251641372102

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

T(n,k)=Number of nXk 0..2 arrays with no element equal to more than one of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281653

a(n) = ∑_k=0..7 (n + k)². A276026

T(n,k)=Number of nXk 0..2 arrays with no element equal to more than one of its horizontal and vertical neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A280284

T(n,k)=Number of nXk 0..2 arrays with no element equal to a strict majority of its horizontal and vertical neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A279527

G.f. B(x) satisfies: B(x) = (1 - x²*B(x)²) / (1 - 2·x*B(x))². A341962

Number of partitions p of n such that (number of numbers in p of form 3k+1) = (number of numbers in p of form 3k+2). A241738

Number of n X 2 0..2 arrays with no element equal to a strict majority of its horizontal and vertical neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A279523

Number of permutations of 1..n with displacements restricted to {-5,-4,-3,0,1,2}. A189588

Numbers k such that k + sopfr(k) is a fourth power. A387246

Number of partitions of floor(5n/2)-1 into n nonnegative integers each no more than 5. A1976