Properties of the Number 55759

Fifty-Five Thousand Seven Hundred Fifty-Nine

Basics

Value: 55758 → 55759 → 55760

Parity: odd

Prime: No

Previous Prime: 55733

Next Prime: 55763

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 11 × 37 × 137

Divisors: 1, 11, 37, 137, 407, 1507, 5069, 55759

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100111001111

Octal: 154717

Duodecimal: 28327

Hexadecimal: d9cf

Square: 3109066081

Square Root: 236.13343685297937

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

5-wave sequence. A38201

Let M denote the 5 X 5 matrix with rows /1,1,1,1,1/1,1,1,1,0/1,1,1,0,0/1,1,0,0,0/1,0,0,0,0/ and A(n) = vector (x(n),y(n),z(n),t(n),u(n)) = Mⁿ*A where A is the vector (1,1,1,1,1); then a(n) = t(n). A69006

Number of n X n symmetric 0..3 arrays with rows, considered as 4-ary numbers, in nondecreasing order. A162079

Fourth line of 5-wave sequence A038201. A38341

Jacobi form of weight 12 and index 1 for Niemeier lattice of type A₈³. A55759