Properties of the Number 21442

Twenty-One Thousand Four Hundred Forty-Two

Basics

Value: 21441 → 21442 → 21443

Parity: even

Prime: No

Previous Prime: 21433

Next Prime: 21467

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 71 × 151

Divisors: 1, 2, 71, 142, 151, 302, 10721, 21442

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 101001111000010

Octal: 51702

Duodecimal: 104AA

Hexadecimal: 53c2

Square: 459759364

Square Root: 146.4308710620817

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 such that 2*(least part) < greatest part. A237820

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 0. A255091

Numbers that are the sum of seven fourth powers in six or more ways. A345572

Numbers that are the sum of seven fourth powers in exactly six ways. A345828

Numbers k such that ∑_i=1..k i⁷ divides ∏_i=1..k i⁷. A166607

Number of partitions p of n such that (sum of parts with multiplicity 1) > (sum of all other parts). A240451

Number of partitions p of n such that (sum of parts with multiplicity 1) >= (sum of all other parts). A240452

Expansion of ∑_k>0 x^4·k/(1+x^k)⁵. A363618

Number of (n+2)X(1+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 0. A255084

Number of (n+2)X(7+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 0. A255090