Properties of the Number 83972

Eighty-Three Thousand Nine Hundred Seventy-Two

Basics

Value: 83971 → 83972 → 83973

Parity: even

Prime: No

Previous Prime: 83969

Next Prime: 83983

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 7 × 2999

Divisors: 1, 2, 4, 7, 14, 28, 2999, 5998, 11996, 20993

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10100100000000100

Octal: 244004

Duodecimal: 40718

Hexadecimal: 14804

Square: 7051296784

Square Root: 289.7792263085813

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 square binary words: binary words of length 2n obtained by self-shuffling. A191755

a(1) = a(2) = 1; a(n+1) = round( a(n) + sqrt(3)*a(n-1) ). A133999

Number of length-n 0..n arrays with no following elements larger than the first repeated value. A267464

Number of length-n 0..6 arrays with no following elements larger than the first repeated value. A267469

Number of length-6 0..n arrays with no following elements larger than the first repeated value. A267474

T(n,k)=Number of length-n 0..k arrays with no following elements larger than the first repeated value. A267471

Smallest palindromic prime containing exactly n 1's. A83972