Properties of the Number 71361

Seventy-One Thousand Three Hundred Sixty-One

Basics

Value: 71360 → 71361 → 71362

Parity: odd

Prime: No

Previous Prime: 71359

Next Prime: 71363

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 881

Divisors: 1, 3, 9, 27, 81, 881, 2643, 7929, 23787, 71361

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001011011000001

Octal: 213301

Duodecimal: 35369

Hexadecimal: 116c1

Square: 5092392321

Square Root: 267.1347974338049

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) = 6·a(n-1) - 3·a(n-2), a(0)=1, a(1)=3. A84120

Denominators of continued fraction convergents to sqrt(207). A41385

Denominators of continued fraction convergents to sqrt(828). A42599

Let v[0]={0,1,1,2}, v[n]=M.v[n-1], where M={{0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {1, 10, 19, 1}}; then a(n) =v[n][[1]] (the first term). A104095

Largest n-digit prime with strictly decreasing digits. A71361

Array read by antidiagonals: ((ceiling(sqrt(n)) + sqrt(n))^k + (ceiling(sqrt(n)) - sqrt(n))^k)/2 for columns k >= 0 and rows n >= 0. A191348