Properties of the Number 55684

Fifty-Five Thousand Six Hundred Eighty-Four

Basics

Value: 55683 → 55684 → 55685

Parity: even

Prime: No

Previous Prime: 55681

Next Prime: 55691

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 13921

Divisors: 1, 2, 4, 13921, 27842, 55684

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100110000100

Octal: 154604

Duodecimal: 28284

Hexadecimal: d984

Square: 3100707856

Square Root: 235.97457490161943

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

Expansion of 1/(1 - ∑_k>=0 x^2·k*(k+1+1)). A282504

Number of partitions of the n-th triangular number into exactly n positive triangular numbers. A338585

Number of n X 3 binary arrays indicating whether each 2 X 2 subblock of a larger binary array has lexicographically increasing rows and columns, for some larger (n+1) X 4 binary array with rows and columns of the latter in lexicographically nondecreasing order. A227086

a(n) = 2·a(n-2) + a(n-3) + a(n-4) for n>=4, a(n) = binomial(n,3) for n<4. A240607

Number of (n+2) X (1+2) 0..1 arrays with no 3·3 subblock diagonal sum 0 and no antidiagonal sum 0 and no row sum 2 and no column sum 2. A255221

Number of different n-pointed stars. A55684