Properties of the Number 72199

Seventy-Two Thousand One Hundred Ninety-Nine

Basics

Value: 72198 → 72199 → 72200

Parity: odd

Prime: No

Previous Prime: 72173

Next Prime: 72211

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 17 × 31 × 137

Divisors: 1, 17, 31, 137, 527, 2329, 4247, 72199

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001101000000111

Octal: 215007

Duodecimal: 35947

Hexadecimal: 11a07

Square: 5212695601

Square Root: 268.69871603712585

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 integer partitions of n with no part divisible by all the others. A343341

a(n) = ∑_k=0..n binomial(n,k)²*F(k+1). A114198

a(n) = 50·n² - 1. A157919

Numbers n such that 10000000n+1, 10000000n+3, 10000000n+7, 10000000n+9 are all primes. A64966

a(n)-th factorial is the smallest factorial containing exactly n 5's, or 0 if no such number exists. A72199

a(1) = 1; thereafter a(n) = (∑_k=1..n-1 a(k)) ^ ∏_k=1..n-1 a(k). A275588