Properties of the Number 83813

Eighty-Three Thousand Eight Hundred Thirteen

Basics

Value: 83812 → 83813 → 83814

Parity: odd

Prime: Yes

Previous Prime: 83791

Next Prime: 83833

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 83813

Divisors: 1, 83813

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100011101100101

Octal: 243545

Duodecimal: 40605

Hexadecimal: 14765

Square: 7024618969

Square Root: 289.5047495292607

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

Primes of form n² + n + 3. A27753

G.f.: A(x) = ∑_n>=0 binomial(3*(n+1), n)/(n+1) * xⁿ / (1+x)^2*(n+1). A316371

Primes p such that the Fibonacci iterations starting with (1, p) lead to a "nine digits anagram". A34588

Primes that remain prime through 4 iterations of function f(x) = 10x + 3. A23328

Primes p in A068209 whose squares never divide (x+1)^p-x^p-1 and x^x+(x+1)^x+1 for the same x. A165284

Primes of the form n⁴ + n² + 3. A309844

a(n) = 3*(10ⁿ-1). A83813