Properties of the Number 37101

Thirty-Seven Thousand One Hundred One

Basics

Value: 37100 → 37101 → 37102

Parity: odd

Prime: No

Previous Prime: 37097

Next Prime: 37117

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 83 × 149

Divisors: 1, 3, 83, 149, 249, 447, 12367, 37101

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000011101101

Octal: 110355

Duodecimal: 19579

Hexadecimal: 90ed

Square: 1376484201

Square Root: 192.61619869574832

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

Number of partitions satisfying 0 < cn(0,5) + cn(1,5) + cn(4,5). A39900

a(n) = 5·a(n-1) + a(n-2); with a(1)=5, a(2)=1. A189745

Orbit of 91 under function described in A084317. A84319

Number of partitions satisfying (cn(2,5) <= cn(1,5) and cn(3,5) <= cn(1,5) and cn(2,5) <= cn(4,5) and cn(3,5) <= cn(4,5)). A36802

Sequence from expansion of Cartan E₁₁ 12 state root sum zero characteristic polynomial: p(x)=1/(-1 + 274 x² - 3480 x³ + 21205 x⁴ - 76696 x⁵ + 175891x⁶ - 259324 x⁷ + 240551 x⁸ - 131824 x⁹ + 37101 x¹⁰ - 3676 x¹¹ - 44 x¹²). A143076

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (-1, 0, 1), (1, -1, 0), (1, 1, -1), (1, 1, 1)}. A149798

Trajectory of 3 under map n->7n+1 if n odd, n->n/2 if n even. A37101