Properties of the Number 21936

Twenty-One Thousand Nine Hundred Thirty-Six

Basics

Value: 21935 → 21936 → 21937

Parity: even

Prime: No

Previous Prime: 21929

Next Prime: 21937

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 457

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101010110110000

Octal: 52660

Duodecimal: 10840

Hexadecimal: 55b0

Square: 481188096

Square Root: 148.10806865258894

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

Transform of the finite sequence (1, 0, -1) by the T_1,0 transformation (see link). A159336

Triangle T(n,k) read by rows: coefficients of polynomials P_n(t) defined in Formula section. A286800

Number of odd-length twice-partitions of n into odd-length partitions. A358834

Number of solutions to +-1 +- 5 +- 12 +- ... +- n*(3·n-1)/2 = 0. A292474

McKay-Thompson series of class 5a for Monster. A7253

a(n) = 2·a(n-1) + 2·a(n-2) - 2·a(n-3) with a(0)=3, a(1)=2, a(3)=8. A107300

Positive integers that have exactly ten representations of the form 1 + p1 * (1 + p2* ... * (1 + p_j)...), where [p1, ..., p_j] is a (possibly empty) list of distinct primes. A317400

Numbers k such that 225·2^k+1 is prime. A32489

a(n)! begins with 2ⁿ. A59449

Number of nX4 0..1 arrays with every element equal to 0, 1, 2 or 4 king-move adjacent elements, with upper left element zero. A297885