Properties of the Number 65305

Sixty-Five Thousand Three Hundred Five

Basics

Value: 65304 → 65305 → 65306

Parity: odd

Prime: No

Previous Prime: 65293

Next Prime: 65309

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 × 37 × 353

Divisors: 1, 5, 37, 185, 353, 1765, 13061, 65305

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111100011001

Octal: 177431

Duodecimal: 31961

Hexadecimal: ff19

Square: 4264743025

Square Root: 255.54842985234717

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

Numbers n such that sopf(n) = sopf(n-1) - sopf(n-2), where sopf(x) = sum of the distinct prime factors of x. A76527

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 517", based on the 5-celled von Neumann neighborhood. A288831

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 525", based on the 5-celled von Neumann neighborhood. A288901

Number of connected 4-element antichains on a labeled n-set. A94035

2ⁿ minus the number of partitions of n. A208739

Strong pseudoprimes to base 42. A20268

100-gonal numbers: a(n) = 98·n*(n-1)/2 + n. A261276

Triangular array giving means of two odd primes: T(n,k) = (n-th prime + k-th prime)/2, n >= k >= 2. A65305

Number of ways to place 3n rooks on an n X n board, 3 rooks in each row and each column, multiple rooks in an allowed cell, and exactly 4 rooks below the main diagonal. A260583