Properties of the Number 37108

Thirty-Seven Thousand One Hundred Eight

Basics

Value: 37107 → 37108 → 37109

Parity: even

Prime: No

Previous Prime: 37097

Next Prime: 37117

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 9277

Divisors: 1, 2, 4, 9277, 18554, 37108

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000011110100

Octal: 110364

Duodecimal: 19584

Hexadecimal: 90f4

Square: 1377003664

Square Root: 192.634368688456

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

a(n) = (n³)/2 + (3·n²)/2 + 3·n + 3. A127873

T(n,k) = number of n-bead necklaces labeled with numbers -k..k not allowing reversal, with sum zero and avoiding the pattern z z+1 z+2. A209073

Number of ways to arrange integers 1 through n so that the sum of each adjacent pair is prime, not counting reversals. A51239

Moebius transform of binomial(n+3, 4). A117109

Numbers that are the sum of seven fifth powers in two or more ways. A345605

Numbers that are the sum of seven fifth powers in exactly two ways. A346279

Number of ways of writing the numbers 1 .. n in a sequence so that the sum of any two adjacent numbers is a prime; reversing the sequence does not count as different. A64821

Distance from 2ⁿ to the nearest triangular number. A233327

Difference between 4ⁿ and the nearest triangular number. A238455

Expansion of (1/x) * Series_Reversion( x / ((1+x)² * (1+x²)) ). A369439