Properties of the Number 53813

Fifty-Three Thousand Eight Hundred Thirteen

Basics

Value: 53812 → 53813 → 53814

Parity: odd

Prime: Yes

Previous Prime: 53791

Next Prime: 53819

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 53813

Divisors: 1, 53813

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101001000110101

Octal: 151065

Duodecimal: 27185

Hexadecimal: d235

Square: 2895838969

Square Root: 231.97629189208106

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

T(n,k)=Number of nXk 0..2 arrays with no element less than a strict majority of its horizontal, vertical and antidiagonal neighbors. A231663

Primes of the form n² - 11. A91272

Number of nX2 0..2 arrays with no element less than a strict majority of its horizontal, vertical and antidiagonal neighbors. A231657

Number of nX7 0..2 arrays with no element less than a strict majority of its horizontal, vertical and antidiagonal neighbors. A231662

Numbers which are an integral multiple of the sum of their proper divisors: prime and perfect numbers. A53813

Number of n X 7 0..2 arrays with rows nondecreasing and antidiagonals unimodal. A224011

Number of nX7 0..2 arrays with rows unimodal and antidiagonals nondecreasing. A224373