Properties of the Number 65760

Sixty-Five Thousand Seven Hundred Sixty

Basics

Value: 65759 → 65760 → 65761

Parity: even

Prime: No

Previous Prime: 65731

Next Prime: 65761

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁵ × 3 × 5 × 137

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000000011100000

Octal: 200340

Duodecimal: 32080

Hexadecimal: 100e0

Square: 4324377600

Square Root: 256.4371267971937

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)=Number of nXk binary arrays without the pattern 0 0 1 diagonally, antidiagonally or horizontally. A189264

Related to the minimal number of periodic orbits of periods guaranteed by Sharkovskii's theorem. A130628

Triangle read by rows, T(n,k) = ∑_j=0..k-1 S(n,j+1)*S(n,k-j) where S denotes the Stirling cycle numbers A132393, T(0,0)=1, n>=0, 0<=k<=2n-1. A254882

a(n) = 2ⁿ⁺¹ + n² - 1. A290707

a(n) = ∑_d∣n φ(n/d)*2^d+1, with a(0) = 0. A160619

(n-1)-st elementary symmetric function of {1,1,2,2,3,3,4,4,5,5,...,Floor[(n+1)/2]}. A203151

Coefficients of q-expansion of Eisenstein series G_9/2(τ) multiplied by 240. A306936

Number of nX4 binary arrays without the pattern 0 0 1 diagonally, antidiagonally or horizontally. A189259

Number of 5Xn binary arrays without the pattern 0 0 1 diagonally, antidiagonally or horizontally. A189267

(n-1)-st elementary symmetric function of the first n terms of (1,2,3,4,5,1,2,3,4,5,...)=A010884. A203166