Properties of the Number 65736

Sixty-Five Thousand Seven Hundred Thirty-Six

Basics

Value: 65735 → 65736 → 65737

Parity: even

Prime: No

Previous Prime: 65731

Next Prime: 65761

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 11 × 83

Divisors: 1, 2, 3, 4, 6, 8, 9, 11, 12, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000011001000

Octal: 200310

Duodecimal: 32060

Hexadecimal: 100c8

Square: 4321221696

Square Root: 256.390327430658

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 integer arrays with each element equal to the number of horizontal and antidiagonal neighbors exactly one smaller than itself. A266101

Number of 2 X 2 matrices having all terms in {1,...,n} and nonnegative determinant. A211058

Number of n X 3 integer arrays with each element equal to the number of horizontal and antidiagonal neighbors exactly one smaller than itself. A266096

The polygonal polynomials evaluated at x = 1/2 and normalized with 2ⁿ. A360606

To find the next term, multiply the number obtained by reading the even digits in order by the number obtained by reading the odd digits in order. A122474

Sum of the positive differences of the cubed parts in each partition of n into two parts. A335639

Row 6 of table A111528. A111533

Largest square <= 10ⁿ. A65736