Properties of the Number 37205

Thirty-Seven Thousand Two Hundred Five

Basics

Value: 37204 → 37205 → 37206

Parity: odd

Prime: No

Previous Prime: 37201

Next Prime: 37217

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 × 7 × 1063

Divisors: 1, 5, 7, 35, 1063, 5315, 7441, 37205

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000101010101

Octal: 110525

Duodecimal: 19645

Hexadecimal: 9155

Square: 1384212025

Square Root: 192.88597668052492

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) = prime(n)² - n. A182174

Square array T(n,k), n >= 1, k >= 2, read by antidiagonals, where T(n,k) is the number of self-avoiding walks in the n X k grid graph which start at any of the n vertices on left side of the graph and terminate at any of the n vertices on the right side. A333509

The (1,4)-entry in the 4 X 4 matrix Mⁿ, where M={{3, 2, 1, 1}, {2, 1, 1, 0}, {1, 1, 0, 0}, {1, 0, 0, 0}} (n>=0). A123942

Number of separable partitions of n in which the number of distinct (repeatable) parts is > 3. A325718

a(n) = (n+1)ⁿ - 1. A37205

Number of 7-element intersecting families of an n-element set. A51184