Properties of the Number 55540

Fifty-Five Thousand Five Hundred Forty

Basics

Value: 55539 → 55540 → 55541

Parity: even

Prime: No

Previous Prime: 55529

Next Prime: 55541

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 5 × 2777

Divisors: 1, 2, 4, 5, 10, 20, 2777, 5554, 11108, 13885

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100011110100

Octal: 154364

Duodecimal: 28184

Hexadecimal: d8f4

Square: 3084691600

Square Root: 235.6692597688549

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 compositions of n with weakly increasing differences. A325546

T(n,k)=Number of -k..k arrays x(0..n-1) of n elements with zeroth through n-1st differences all nonzero. A199943

Sum over the genera g of the number of immersions of an oriented circle with n crossing in an oriented surface of genus g. A260296

Number of -n..n arrays x(0..4) of 5 elements with zeroth through 4th differences all nonzero. A199946

From the enumeration of involutions avoiding the pattern 4321. A217525

a(1) = 15; for n > 1, a(n)² is the smallest square that begins with a(n-1) in base 6. A336251

Poincaré series [or Poincare series] P(C#_{3,2}; x). A124630

Number of -5..5 arrays x(0..n-1) of n elements with zeroth through n-1st differences all nonzero. A199940

Total number of leaves (nodes of vertex degree 1) in all graphs of n nodes. A55540