Properties of the Number 21935

Twenty-One Thousand Nine Hundred Thirty-Five

Basics

Value: 21934 → 21935 → 21936

Parity: odd

Prime: No

Previous Prime: 21929

Next Prime: 21937

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 5 × 41 × 107

Divisors: 1, 5, 41, 107, 205, 535, 4387, 21935

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101010110101111

Octal: 52657

Duodecimal: 1083B

Hexadecimal: 55af

Square: 481144225

Square Root: 148.1046927008054

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 integer compositions of n whose leaders of strictly increasing runs are themselves strictly increasing. A374688

T(n,k) = half the number of (n+1) X (k+1) binary arrays with no 2 X 2 subblock having exactly 2 ones. A183782

Number of colored integer partitions of n such that five colors are used and parts differ by size or by color. A327383

a(n) = ∑_d∣n (-1)^n/d-1 * binomial(d+3,4). A366814

Half the number of (n+1) X 5 binary arrays with no 2 X 2 subblock having exactly 2 ones. A183777

Numbers whose base-5 representation contains exactly three 0's and three 2's. A45187

Numbers 41·k such that 41·k+2 and 41·k-6 are both prime. A153822

Half the number of (n+1) X (n+1) binary arrays with no 2 X 2 subblock having exactly 2 ones. A183773

Expansion of 1/(1-x-x²-x³-x⁴+x⁵+x⁶+x⁷-x⁹). A258000

Number of ordered ways to write n as w² + x³ + y⁴ + 2·z⁴, where w, x, y and z are nonnegative integers. A262827