Properties of the Number 37132

Thirty-Seven Thousand One Hundred Thirty-Two

Basics

Value: 37131 → 37132 → 37133

Parity: even

Prime: No

Previous Prime: 37123

Next Prime: 37139

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 9283

Divisors: 1, 2, 4, 9283, 18566, 37132

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000100001100

Octal: 110414

Duodecimal: 195A4

Hexadecimal: 910c

Square: 1378785424

Square Root: 192.69665279915995

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 products of distinct factorials not exceeding n!. A101977

Expansion of 2·x*(1-6·x+12·x²)/(1-8·x+19·x²-12·x³). A120664

Number of nondecreasing -n..n vectors of length 3 whose dot product with some nonincreasing -n..n vector equals 3. A226400

Number of nX7 0..1 arrays with every element equal to 1, 2, 4 or 7 king-move adjacent elements, with upper left element zero. A298092

nextprime(5ⁿ)-nextprime(2ⁿ). A37132

Number of 3Xn 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A241056