Properties of the Number 21937

Twenty-One Thousand Nine Hundred Thirty-Seven

Basics

Value: 21936 → 21937 → 21938

Parity: odd

Prime: Yes

Previous Prime: 21929

Next Prime: 21943

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 21937

Divisors: 1, 21937

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101010110110001

Octal: 52661

Duodecimal: 10841

Hexadecimal: 55b1

Square: 481231969

Square Root: 148.11144452742334

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 alternating strict compositions of n. Number of alternating (up/down or down/up) permutations of strict integer partitions of n. A349054

T(n,k)=Number of nXk binary arrays without the pattern 0 0 0 antidiagonally or horizontally. A188874

Primes of form n² + 6561. A256837

Number of tilings of a 3 X n rectangle with n trominoes. A134438

Prime time primes (of the form HMMSS with primes H < 24 and MM, SS < 60) such that the corresponding number of seconds after midnight is also prime. A295000

Triangle read by rows, giving the arithmetic progressions of prime-indexed primes in A278735. A279021

Primes p such that q = 4p² + 1 and r = 4q² + 1 are also prime. A122424

Lesser of two consecutive primes such that p + n·q is a perfect square, p < q. A64543

Number of sets of exactly n positive integers <= n+6 having a square element sum. A281969

Number of cyclic binary sequences of length n containing no abelian 4th powers. A305594