Properties of the Number 37382

Thirty-Seven Thousand Three Hundred Eighty-Two

Basics

Value: 37381 → 37382 → 37383

Parity: even

Prime: No

Previous Prime: 37379

Next Prime: 37397

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 18691

Divisors: 1, 2, 18691, 37382

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001001000000110

Octal: 111006

Duodecimal: 19772

Hexadecimal: 9206

Square: 1397413924

Square Root: 193.34425256521075

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

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302224

Number of compositions of n in which each part has odd multiplicity. A242391

Number of n X 5 0..1 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other. A201501

Number of n X 3 0..1 arrays with every element equal to 1, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302219

Number of length-n binary words containing no antisquares except 01 and 10. A307732

Expansion of e.g.f. exp(-2·x) / (BesselI(0,2·x) + BesselI(1,2·x)). A308850

Numbers k such that every base-3 digit of k is a base-6 digit of k. A37382

Number of ways to place 8 nonattacking bishops on an n·n toroidal board. A189789