Properties of the Number 65845

Sixty-Five Thousand Eight Hundred Forty-Five

Basics

Value: 65844 → 65845 → 65846

Parity: odd

Prime: No

Previous Prime: 65843

Next Prime: 65851

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 5 × 13 × 1013

Divisors: 1, 5, 13, 65, 1013, 5065, 13169, 65845

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000000100110101

Octal: 200465

Duodecimal: 32131

Hexadecimal: 10135

Square: 4335564025

Square Root: 256.6028059082753

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

a(n) = number of partitions p of n such that the greatest multiplicity of the parts of p is a part of p. A365613

Number of (n+2) X (1+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000001 00000101 or 00010001. A260170

Let u be any string of n digits from {0,...,3}; let f(u) = number of distinct primes, not beginning with 0, formed by permuting the digits of u to a base-4 number; then a(n) = max_u f(u). A65845

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00010001. A260177