Properties of the Number 65297

Sixty-Five Thousand Two Hundred Ninety-Seven

Basics

Value: 65296 → 65297 → 65298

Parity: odd

Prime: No

Previous Prime: 65293

Next Prime: 65309

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 17 × 23 × 167

Divisors: 1, 17, 23, 167, 391, 2839, 3841, 65297

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1111111100010001

Octal: 177421

Duodecimal: 31955

Hexadecimal: ff11

Square: 4263698209

Square Root: 255.5327767625907

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, vertically or antidiagonally. A189696

a(n) = 120·n³ + 60·n² + 2·n + 1. A272126

Expansion of (1/x) * Series_Reversion( x * (1-2·x)³ / (1-x) ). A369023

Number of nX4 binary arrays without the pattern 0 0 1 diagonally, vertically or antidiagonally. A189691

Number of 5Xn binary arrays without the pattern 0 0 1 diagonally, vertically or antidiagonally. A189698

Dimension of space of equivariant linear maps from R^n³ to R^n³ under diagonal action of {-1, 1}ⁿ. A370649

Numbers k such that (13·10^k + 83) / 3 is prime. A276322

a(n+1) is the smallest number > a(n) such that the digits of a(n)² are all (with multiplicity) properly contained in the digits of a(n+1)², with a(0)=1. A65297