Properties of the Number 8117

Eight Thousand One Hundred Seventeen

Basics

Value: 8116 → 8117 → 8118

Parity: odd

Prime: Yes

Previous Prime: 8111

Next Prime: 8123

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 8117

Divisors: 1, 8117

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1111110110101

Octal: 17665

Duodecimal: 4845

Hexadecimal: 1fb5

Square: 65885689

Square Root: 90.09439494219383

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: Yes

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

Primes with first digit 8. A45714

Primes from merging of 4 successive digits in decimal expansion of the Golden Ratio, (1+sqrt(5))/2. A103810

Number of not-necessarily-symmetric n X 2 crossword puzzle grids. A34182

Coefficients of numerator polynomials of g.f.s for a certain necklace problem involving prime numbers. A103728

Primes dividing nonzero terms in A003095: the iterates of x² + 1 starting at 0. A247981

Primes with either no internal digits or all internal digits are 1. A69676

T(n,k)=Number of (n+3)X(k+3) 0..2 matrices with each 4X4 subblock idempotent. A224728

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median minus the lower median of every 2X2 subblock equal. A236875

Primes having only {1, 7, 8} as digits. A260892