Properties of the Number 61185

Sixty-One Thousand One Hundred Eighty-Five

Basics

Value: 61184 → 61185 → 61186

Parity: odd

Prime: No

Previous Prime: 61169

Next Prime: 61211

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 4079

Divisors: 1, 3, 5, 15, 4079, 12237, 20395, 61185

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1110111100000001

Octal: 167401

Duodecimal: 2B4A9

Hexadecimal: ef01

Square: 3743604225

Square Root: 247.35601872604596

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

T(n,k)=Hilltop maps: number of nXk binary arrays indicating the locations of corresponding elements not exceeded by any horizontal, vertical or antidiagonal neighbor in a random 0..2 nXk array. A218233

Expansion of ∏_k>=1 (1 + x^k + x^3·k) / (1 - x^k). A266647

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the symmetric matrix A202871; by antidiagonals. A202872

Hilltop maps: number of n X 2 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal, vertical or antidiagonal neighbor in a random 0..2 n X 2 array. A218227

Hilltop maps: number of n X 1 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or vertical neighbor in a random 0..4 n X 1 array. A218281

Number of (simple, undirected, unlabeled, connected) graphs with n vertices which contain no induced subgraph isomorphic to C5 (cycle on 5 vertices), P5 (path on 5 vertices) or complement of P5. A79391

Number of (undirected) paths in the n-gear graph. A292000

One half of sixth (m=5) column of triangle A060921 (bisection of Fibonacci triangle, odd part). A61185