Properties of the Number 23117

Twenty-Three Thousand One Hundred Seventeen

Basics

Value: 23116 → 23117 → 23118

Parity: odd

Prime: Yes

Previous Prime: 23099

Next Prime: 23131

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 23117

Divisors: 1, 23117

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101101001001101

Octal: 55115

Duodecimal: 11465

Hexadecimal: 5a4d

Square: 534395689

Square Root: 152.04275714416653

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 p such that continued fraction of (1 + sqrt(p))/2 has period 15: primes in A146338. A146360

a(n) = floor(∑_k=0..n k!/2), or floor( A003422(n+1)/2 ). A14288

Primes of the form k² + 13. A138375

Primes which when added to their reversals are squares. A59799

Triangle, read by rows, defined by: T(n,k) = (k+1)*T(n,k+1) - ∑_j=1..n-k-1 T(j,0)*T(n,j+k+1) for n>k with T(n,n)=1 for n>=0. A117396

Primes p such that the sum of p and its reversal is the square of a prime. A367796

Primes of the form x² + (x+3)². A76727

Primes arising in A083758. A83759

Primes q such that p = (r+q+s-1)/2 is a balanced prime, where r, q, s are consecutive primes. A129190

Numbers with d digits (d>0) which have at least 2d distinct primes as substrings. A168167