Properties of the Number 37106

Thirty-Seven Thousand One Hundred Six

Basics

Value: 37105 → 37106 → 37107

Parity: even

Prime: No

Previous Prime: 37097

Next Prime: 37117

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 18553

Divisors: 1, 2, 18553, 37106

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000011110010

Octal: 110362

Duodecimal: 19582

Hexadecimal: 90f2

Square: 1376855236

Square Root: 192.62917743685665

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 + 3·n - 2)/2. A132127

a(n) = ∑_k=1..n k²*tau₃(k), where tau₃ is A007425. A319088

G.f. A(x) = lim_n->infinity (1 - P(n,x))/(-2·x)ⁿ, where P(1,x) = 1/sqrt(1 - 4·x), and P(n+1,x) = 1/sqrt(1 - 4·x + 4·x*P(n,x)) for n >= 1. A351510

Trajectory of 3 under map n->17n+1 if n odd, n->n/2 if n even. A37106