Properties of the Number 65529

Sixty-Five Thousand Five Hundred Twenty-Nine

Basics

Value: 65528 → 65529 → 65530

Parity: odd

Prime: No

Previous Prime: 65521

Next Prime: 65537

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 809

Divisors: 1, 3, 9, 27, 81, 809, 2427, 7281, 21843, 65529

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111111111001

Octal: 177771

Duodecimal: 31B09

Hexadecimal: fff9

Square: 4294049841

Square Root: 255.98632775990205

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

n³+Largest square, (Largest square <= n³). A176580

a(n) = T(7,n), array T given by A048483. A48490

Values of·in x² - 49 = 2·y². A106525

The·members of the positive proper solutions (x = x2(n), y = y2(n)) of the second class for the Pell equation x² - 2·y² = +7². A275795

Numerators of convergents of the continued fraction with the n+1 partial quotients: [2;2,2,...(n 2's)...,2,n+1], starting with [1], [2;2], [2;2,3], [2;2,2,4], ... A88210

a(n) = A000079(n) - A153130(n). A153237

Monotonic ordering of nonnegative differences 4ⁱ-7^j, for 40>= i>=0, j>=0. A192165

Number of permutations of n elements not cyclically containing the consecutive pattern 123. A232864

Number of Carlitz compositions of n with exactly two descents. A241692

Number of 6-element subsets of [n] whose sum is a triangular number. A320852