Properties of the Number 99013

Ninety-Nine Thousand Thirteen

Basics

Value: 99012 → 99013 → 99014

Parity: odd

Prime: Yes

Previous Prime: 98999

Next Prime: 99017

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 99013

Divisors: 1, 99013

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000001011000101

Octal: 301305

Duodecimal: 49371

Hexadecimal: 182c5

Square: 9803574169

Square Root: 314.66331212901196

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 the form k² - prime(k). A188831

Primes of the form (4·k + 3)² + (4·k + 2)² where k=0,1,2,3,... A87872

Primes p for which p + 4, p² + 4 and p³ + 4 are primes. A243734

Primes of the form 8·n² + 4·n + 1. A102130

Primes of the form prime(x)² + (prime(x) - 1)². A147718

Primes p = a² + b² such that (x - a)² + (y - b)² = 2 and q - p = 4, where q = x² + y² is prime, assuming that a > b > 0 and x > y > 0. A217674

a(n) = ∑_k=0..n 3^k-1*Fibonacci(k). A99013

Number of nX3 0..2 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value (x(i,j)+1) mod 3 and at least one element with value (x(i,j)-1) mod 3, and upper left element zero. A231026

Primes p such that sod(p)=2·sod(nextprime(p)). A175546