Properties of the Number 61760

Sixty-One Thousand Seven Hundred Sixty

Basics

Value: 61759 → 61760 → 61761

Parity: even

Prime: No

Previous Prime: 61757

Next Prime: 61781

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁶ × 5 × 193

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1111000101000000

Octal: 170500

Duodecimal: 2B8A8

Hexadecimal: f140

Square: 3814297600

Square Root: 248.51559307214507

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

Ruth-Aaron numbers (1): sum of prime divisors of n = sum of prime divisors of n+1. A6145

Number of ways to place 4 nonattacking queens on a 4 X n board. A61990

Numbers k such that A206369(k) = A206369(k + 1). A206368

The number of P-positions in the game of Nim with up to 4 piles, allowing for piles of zero, such that the number of objects in each pile does not exceed n. A241522

Number of nonequivalent solutions to the order n checkerboard problem up to reflection and rotation: place n pieces on an n X n board so there is exactly one piece in each row, column and main diagonal. A64280

Numbers k such that (17·10^k - 89)/9 is prime. A295324

Least multiple of n that is greater than n, not equal to a power of 10 times n and contains all the digits of n. A61760

G.f. satisfies: A(x) = 1 + x·A(x) * ( d/dx x·A(x)³ ). A317353

Number of ways to reciprocally link elements of an 4Xn array either to themselves or to exactly two horizontal, diagonal or antidiagonal neighbors. A220728

Number of nX4 0..2 arrays with no element unequal to more than four of its king-move neighbors and with new values introduced in order 0 sequentially upwards. A282053