Properties of the Number 55749

Fifty-Five Thousand Seven Hundred Forty-Nine

Basics

Value: 55748 → 55749 → 55750

Parity: odd

Prime: No

Previous Prime: 55733

Next Prime: 55763

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 18583

Divisors: 1, 3, 18583, 55749

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100111000101

Octal: 154705

Duodecimal: 28319

Hexadecimal: d9c5

Square: 3107951001

Square Root: 236.11226143510632

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

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 902", based on the 5-celled von Neumann neighborhood. A284357

a(n) = a(n-1) - 9·a(n-2), a(0) = 1, a(1) = 3. A133665

Number of n X 2 binary arrays indicating whether each 2 X 2 subblock of a larger binary array has lexicographically nondecreasing rows and columns, for some larger (n+1) X 3 binary array with rows and columns of the latter in lexicographically nondecreasing order. A227252

Expansion of 2*(1 - x)/(3 - theta₃(x)), where theta₃() is the Jacobi θ function. A303909

Number of nX4 0..1 arrays with every element unequal to 2, 3, 5, 6 or 7 king-move adjacent elements, with upper left element zero. A305219

Jacobi form of weight 12 and index 1 for the Niemeier lattice of type D₂₄. A55749