Properties of the Number 37129

Thirty-Seven Thousand One Hundred Twenty-Nine

Basics

Value: 37128 → 37129 → 37130

Parity: odd

Prime: No

Previous Prime: 37123

Next Prime: 37139

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 107 × 347

Divisors: 1, 107, 347, 37129

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000100001001

Octal: 110411

Duodecimal: 195A1

Hexadecimal: 9109

Square: 1378562641

Square Root: 192.68886838631857

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

Numbers n such that sopfr(n) = sopfr(n-1) + sopfr(n-2), where sopfr is the sum of prime factors of n with multiplicity (A001414). A294995

Numbers k for which A276085(k) is a multiple of 3125, where A276085 is fully additive with a(p) = p#/p. A377878

Euler transform of A373217. A373298

G.f.: ∑_n>=0 (xⁿ⁺¹ + i)ⁿ / (1 + i·xⁿ)ⁿ⁺¹, in which the constant term is taken to be 1. A323690

Odd numbers n for which 19 is the smallest i (>= 1) with Jacobi symbol J(i,n) getting either a value 0 or -1. A112078

Odd coefficients in ∑_n>=0 (xⁿ⁺¹ + i)ⁿ / (1 + i·xⁿ)ⁿ⁺¹, in which the constant term is taken to be 1. A323691

Number of -1..1 arrays of n elements with first, second and third differences also in -1..1. A202117

Drop the final digit of n⁵. A342112

(nextprime(3ⁿ)-nextprime(2ⁿ))/2. A37129