Properties of the Number 72219

Seventy-Two Thousand Two Hundred Nineteen

Basics

Value: 72218 → 72219 → 72220

Parity: odd

Prime: No

Previous Prime: 72211

Next Prime: 72221

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 19 × 181

Divisors: 1, 3, 7, 19, 21, 57, 133, 181, 399, 543

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001101000011011

Octal: 215033

Duodecimal: 35963

Hexadecimal: 11a1b

Square: 5215583961

Square Root: 268.73592986424427

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

Sqrt(σ(A008847(n)²)), where A008847 lists m such that σ(m²) is a square. A163763

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 1), (0, 1, -1), (1, -1, 1), (1, 0, 1), (1, 1, 0)}. A150876

Any number n can be written uniquely in the form n = 2^k_1 - 2^k_2 + 2^k_3 - ... + 2^k_{2r+1} where the signs alternate, there are an odd number of terms, and k₁ > k₂ > k₃ > ... > k_2r+1 >= 0; sequence gives number of terms 2r+1. A72219