Properties of the Number 65096

Sixty-Five Thousand Ninety-Six

Basics

Value: 65095 → 65096 → 65097

Parity: even

Prime: No

Previous Prime: 65089

Next Prime: 65099

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 79 × 103

Divisors: 1, 2, 4, 8, 79, 103, 158, 206, 316, 412

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1111111001001000

Octal: 177110

Duodecimal: 31808

Hexadecimal: fe48

Square: 4237489216

Square Root: 255.1391777050322

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 (n+2)X(k+2) 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly three ways, and new values 0..3 introduced in row major order. A204642

Length of period of the continued fraction expansion of sqrt(2ⁿ+1). A59926

Length of period of continued fraction expansion of square root of (2²ⁿ⁺¹+1). A61682

Number of (n+2)X3 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly three ways, and new values 0..3 introduced in row major order. A204635

Number of (n+2) X 8 0..3 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly three ways, and new values 0..3 introduced in row major order. A204640

Sums of lists produced by a variant of the iteration that produces the Catalan numbers: start with 0 and at each iteration replace each integer k with the list 0,1,...,k-1,k,k+1,k,k-1,...,1,0 and let a(n) be the sum of the resulting (flattened) list after n iterations. A65096