Properties of the Number 51984

Fifty-One Thousand Nine Hundred Eighty-Four

Basics

Value: 51983 → 51984 → 51985

Parity: even

Prime: No

Previous Prime: 51977

Next Prime: 51991

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ² × 19 ²

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100101100010000

Octal: 145420

Duodecimal: 26100

Hexadecimal: cb10

Square: 2702336256

Square Root: 228

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

a(1)=1, a(n) = n·a(floor(n/2)). A98844

a(n) = (11·n + 8)². A17486

Squares with initial digit '5'. A45788

Squares which are the arithmetic mean of two consecutive primes. A69495

a(n) = n + (n+1)² + (n+2)³. A27620

Number of ways to place 2 nonattacking queens on an n X n toroidal board. A172517

a(n) = (6·n)². A16910

Square associated with twin primes (p,p+2): p(p+2) + 1. Square of the average of twin primes. A75369

Stirling transform (of the first kind, with signs) of the central Lah numbers (A187535). A187546

Squares expressible as the sum of two positive cubes in at least one way. A50802