Properties of the Number 55854

Fifty-Five Thousand Eight Hundred Fifty-Four

Basics

Value: 55853 → 55854 → 55855

Parity: even

Prime: No

Previous Prime: 55849

Next Prime: 55871

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 29 × 107

Divisors: 1, 2, 3, 6, 9, 18, 29, 58, 87, 107

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101101000101110

Octal: 155056

Duodecimal: 283A6

Hexadecimal: da2e

Square: 3119669316

Square Root: 236.33450869477358

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

T(n,k)=Number of nXk 0..1 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly one mistake. A278676

Number of partitions of n containing m(3) as a part, where m denotes multiplicity. A240488

a(n) = (1/n) * A205454(n). A205455

Number of nX5 0..1 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly one mistake. A278673

Number of n X n 0..1 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly one mistake. A278669

Convolution of A055853 with A011782. A55854

Number of (n+1)X(2+1) 0..3 arrays with the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one. A237968