Properties of the Number 71285

Seventy-One Thousand Two Hundred Eighty-Five

Basics

Value: 71284 → 71285 → 71286

Parity: odd

Prime: No

Previous Prime: 71263

Next Prime: 71287

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 5 × 53 × 269

Divisors: 1, 5, 53, 265, 269, 1345, 14257, 71285

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001011001110101

Octal: 213165

Duodecimal: 35305

Hexadecimal: 11675

Square: 5081551225

Square Root: 266.9925092582187

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

Discriminant a(n) of the indefinite binary quadratic Markoff form m(n)*F_m(n)(x, y) with m(n) = A002559(n), for n >= 1. A305312

a(n) is the numerator of the square of the n-th Lagrange number. A382098

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum less than the antidiagonal sum or central row sum less than the central column sum. A258894

Numbers k(n) used for Cassels's Markoff forms MF(n) corresponding to the conjectured unique Markoff triples MT(n) with maximal entry m(n) = A002559(n), for n >= 1. A305310

Numbers k(n) used for Markoff forms determining quadratic irrationals with purely periodic continued fractions. A305311

Numerators of Peirce sequence of order 5. A71285

a(n) gives the length of the period of the regular continued fraction of the quadratic irrational of any Markoff form representative Mf(n), n >= 1 (assuming the uniqueness conjecture). A305317