Properties of the Number 87972

Eighty-Seven Thousand Nine Hundred Seventy-Two

Basics

Value: 87971 → 87972 → 87973

Parity: even

Prime: No

Previous Prime: 87961

Next Prime: 87973

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 7331

Divisors: 1, 2, 3, 4, 6, 12, 7331, 14662, 21993, 29324

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10101011110100100

Octal: 253644

Duodecimal: 42AB0

Hexadecimal: 157a4

Square: 7739072784

Square Root: 296.60074173878934

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

Numbers which can written in exactly four ways as a sum of two distinct nonzero pentagonal numbers. A333014

Number of nX3 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 1 1 vertically. A207341

Fifth Lie-Betti number of a path graph on n vertices. A364579

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 1 0 0 vertically. A207661

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 0 1 0 vertically. A207774

Maximal term in Collatz-iteration started at 3ⁿ+1. A87972