Properties of the Number 37116

Thirty-Seven Thousand One Hundred Sixteen

Basics

Value: 37115 → 37116 → 37117

Parity: even

Prime: No

Previous Prime: 37097

Next Prime: 37117

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 1031

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 1031

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000011111100

Octal: 110374

Duodecimal: 19590

Hexadecimal: 90fc

Square: 1377597456

Square Root: 192.65513229602786

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

Series reversion of x/(1 + x + x⁴). A127902

Number of (w,x,y,z) with all terms in {0,...,n} and (least gapsize)=1. A212894

Row sums of triangle in A139040. A238383

Let m be the concatenation, in ascending order, of the divisors of k written in base 2 and then converted to base 10. Sequence lists k which divide m. A379169

G.f. A(x) satisfies A(x)⁴ = A( A(x)³ * x/(1-x) ). A380554

a(n) = π(8,3)(n) + π(8,5)(n) + π(8,7)(n) - 3*π(8,1)(n), where π(a,b)(x) denotes the number of primes in the arithmetic progression a·k + b less than or equal to x. A329242

Trajectory of 3 under map n->37n+1 if n odd, n->n/2 if n even. A37116