Properties of the Number 72213

Seventy-Two Thousand Two Hundred Thirteen

Basics

Value: 72212 → 72213 → 72214

Parity: odd

Prime: No

Previous Prime: 72211

Next Prime: 72221

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 24071

Divisors: 1, 3, 24071, 72213

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001101000010101

Octal: 215025

Duodecimal: 35959

Hexadecimal: 11a15

Square: 5214717369

Square Root: 268.7247662572246

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 superdiagonal bargraphs with area n. A219282

Irregular triangle read by rows: T(n,k), n>=1, k>=1, in which column k lists the numbers of A353689 multiplied by A000330(k), and the first element of column k is in row A000217(k). A353690

Convolution of A000716 and the positive integers. A353689

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, 0, 1), (0, 0, 1), (1, 0, 0), (1, 1, 0)}. A151099

Number of partitions of n². A72213

a(n) is the number of edges of a regular polygon P with the property that packing n nonoverlapping equal circles inside P, arranged in a configuration with dihedral symmetry D_2m with m >= 3, maximizes the packing density. A343262