Properties of the Number 37105

Thirty-Seven Thousand One Hundred Five

Basics

Value: 37104 → 37105 → 37106

Parity: odd

Prime: No

Previous Prime: 37097

Next Prime: 37117

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 5 × 41 × 181

Divisors: 1, 5, 41, 181, 205, 905, 7421, 37105

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000011110001

Octal: 110361

Duodecimal: 19581

Hexadecimal: 90f1

Square: 1376781025

Square Root: 192.62658175859323

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 k such that A003415(k) == A276085(k) (mod 5⁵), where A003415 is the arithmetic derivative and A276085 is the primorial base log-function. A391865

Triangle of coefficients of the polynomials x^{n - 1}*A(n,x + 1/x), where A(n,x) are the Eulerian polynomials of A008292. A143505

The Wiener index of the straight pentachain of n pentagonal rings (see Fig. 2.1 in the A. A. Ali et al. reference). A224459

a(n) is the least positive k such that A276495(n) + 2^k is prime. A276496

T(n,k)=Rolling icosahedron footprints: number of nXk 0..11 arrays starting with 0 where 0..11 label vertices of an icosahedron and every array movement to a horizontal or vertical neighbor moves along an icosahedral edge. A223263

Rolling icosahedron footprints: number of nX4 0..11 arrays starting with 0 where 0..11 label vertices of an icosahedron and every array movement to a horizontal or vertical neighbor moves along an icosahedral edge. A223259

Trajectory of 3 under map n->15n+1 if n odd, n->n/2 if n even. A37105