Properties of the Number 72031

Seventy-Two Thousand Thirty-One

Basics

Value: 72030 → 72031 → 72032

Parity: odd

Prime: Yes

Previous Prime: 72019

Next Prime: 72043

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 72031

Divisors: 1, 72031

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10001100101011111

Octal: 214537

Duodecimal: 35827

Hexadecimal: 1195f

Square: 5188464961

Square Root: 268.38591617296163

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

G.f. A(x) satisfies: A(x) = 1 + x + x² * A(x/(1 + 4·x)) / (1 + 4·x). A351185

Euclid-Pocklington primes: primes of the form ∏_i=1..k prime(i) * prime(k+1)^m + 1 where prime(r) is the r-th prime and ∏_i=1..k prime(i) < prime(k+1)^m. A53341

Primes p such that p² +- 12 and p² +- 18 are also primes. A153121

Number of n X 3 0..1 arrays with rows and columns unimodal and antidiagonals nondecreasing. A223772

Row sums of A072030. A72031