Properties of the Number 65559

Sixty-Five Thousand Five Hundred Fifty-Nine

Basics

Value: 65558 → 65559 → 65560

Parity: odd

Prime: No

Previous Prime: 65557

Next Prime: 65563

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 13 × 41 ²

Divisors: 1, 3, 13, 39, 41, 123, 533, 1599, 1681, 5043

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000000000010111

Octal: 200027

Duodecimal: 31B33

Hexadecimal: 10017

Square: 4297982481

Square Root: 256.0449179343343

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

Expansion of ∏_k>=1 ((1 + x^2·k) / (1 - x^k))^k. A285462

Sums of three Fermat numbers. A155877

a(n) = n*(n+2)². A152619

Minimal number (in decimal representation) with n nonprime substrings in base-4 representation (substrings with leading zeros are considered to be nonprime). A217104

Expansion of 1/((1-x)(1-2x)(1-9x)(1-11x)). A21294

a(n) = (2·n-1)*(2·n+1)². A102094

a(n) = smallest number k with property that if the base-n expansion of k is reversed, the result is a nontrivial multiple of k. A224220

Smallest k such that τ(n+k) = τ(k). A65559

Indices of primes in sequence defined by A(0) = 69, A(n) = 10·A(n-1) - 31 for n > 0. A101534

Numbers n such that 6·10ⁿ + 5·R_n + 4 is prime, where R_n = 11...1 is the repunit (A002275) of length n. A103041