Properties of the Number 37115

Thirty-Seven Thousand One Hundred Fifteen

Basics

Value: 37114 → 37115 → 37116

Parity: odd

Prime: No

Previous Prime: 37097

Next Prime: 37117

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 × 13 × 571

Divisors: 1, 5, 13, 65, 571, 2855, 7423, 37115

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001000011111011

Octal: 110373

Duodecimal: 1958B

Hexadecimal: 90fb

Square: 1377523225

Square Root: 192.6525369674638

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 partitions of {1,...,n} into block sizes not a multiple of 3. A113774

Numbers k such that k and k² use only the digits 1, 2, 3, 5 and 7. A136975

Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 5 or 8 king-move adjacent elements, with upper left element zero. A305336

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 5 or 8 king-move adjacent elements, with upper left element zero. A305340

Trajectory of 3 under map n->35n+1 if n odd, n->n/2 if n even. A37115