Properties of the Number 55215

Fifty-Five Thousand Two Hundred Fifteen

Basics

Value: 55214 → 55215 → 55216

Parity: odd

Prime: No

Previous Prime: 55213

Next Prime: 55217

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 5 × 409

Divisors: 1, 3, 5, 9, 15, 27, 45, 135, 409, 1227

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101011110101111

Octal: 153657

Duodecimal: 27B53

Hexadecimal: d7af

Square: 3048696225

Square Root: 234.9787224409904

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 nX5 0..1 arrays with every element equal to 0, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero. A298779

Number of segments created by diagonals of n-gon. A14629

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero. A298782

A path-counting array, read by rows: T(i,j)=number of paths from (0,0) to (i-j,j) using steps (1 unit right and 1 unit up) or (1 unit right and 2 units up). A55215

Number of defective 3-colorings of an n X 5 0..2 array connected horizontally, diagonally and antidiagonally with exactly two mistakes, and colors introduced in row-major 0..2 order. A229634