Properties of the Number 65517

Sixty-Five Thousand Five Hundred Seventeen

Basics

Value: 65516 → 65517 → 65518

Parity: odd

Prime: No

Previous Prime: 65497

Next Prime: 65519

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 21839

Divisors: 1, 3, 21839, 65517

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111111101101

Octal: 177755

Duodecimal: 31AB9

Hexadecimal: ffed

Square: 4292477289

Square Root: 255.96288793495046

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

Triangle defined by g.f. A(x,y) = exp( ∑_n>=1 xⁿ/n * ∑_k=0..n binomial(n², (n-k)*k) * y^k ), as read by rows. A228900

a(n) = ∑_k=0..n (1-(-1)^{floor( (-n-k}/2^k ) )) * 2^k-1. A105229

Where the difference A055938(n) - A005187(n) obtains record values; positions of records in A257126. A257130

Integers m such that σ(m) + σ(m+1) + σ(m+2) - σ(m+3) <= 0, where σ is the sum of divisors. A348698

Number of irreducible permutations of n with partition type [2, 1, 1, ..., 1] (with '1' taken n - 2 times). A356114

Column 1 of triangle A228900. A228901

Number of (n+2) X (1+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00010101 or 01010101. A259735

Numerator of n/(sum of the digits of n). A65517