Properties of the Number 53365

Fifty-Three Thousand Three Hundred Sixty-Five

Basics

Value: 53364 → 53365 → 53366

Parity: odd

Prime: No

Previous Prime: 53359

Next Prime: 53377

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 13 × 821

Divisors: 1, 5, 13, 65, 821, 4105, 10673, 53365

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101000001110101

Octal: 150165

Duodecimal: 26A71

Hexadecimal: d075

Square: 2847823225

Square Root: 231.00865784641059

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

Irregular triangular array: row n gives numbers D, each being the discriminant of the minimal polynomial of a quadratic irrational represented by a continued fraction with period an n-tuple of 1s and 3s. A246921

Irregular triangular array: every periodic simple continued fraction CF represents a quadratic irrational (c + f·sqrt(d))/b, where b,c,f,d are integers and d is squarefree. Row n of this array shows the distinct values of d as CF ranges through the periodic continued fractions having period an n-tuple of 1s and 3s. A246922

Total number of divisors d of m (counted with multiplicity), such that the prime signature of d is a partition of six and m runs through the set of least numbers whose prime signature is a partition of n. A309921

Total number of divisors d of m (counted with multiplicity), such that the prime signature of d is a partition of nine and m runs through the set of least numbers whose prime signature is a partition of n. A309924

Number of n X 6 0..2 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest, modulo 3. A239359

Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero. A299677

Number of labeled n-node graphs with no cycles of length less than 5. A337685

Numbers k such that 297·2^k + 1 is prime. A53365