Properties of the Number 93103

Ninety-Three Thousand One Hundred Three

Basics

Value: 93102 → 93103 → 93104

Parity: odd

Prime: Yes

Previous Prime: 93097

Next Prime: 93113

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 93103

Divisors: 1, 93103

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110101110101111

Octal: 265657

Duodecimal: 45A67

Hexadecimal: 16baf

Square: 8668168609

Square Root: 305.1278420596849

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

G.f.: ∑_n>=0 ( (1+x)ⁿ - 1/(1+x)ⁿ )ⁿ. A319466

Number of step cyclic shifted sequence structures of length n using an infinite alphabet. A288628

Primes of the form n³-2·n²-1. A214886

The smallest of four consecutive primes with prime gaps {a,b,c} = {10,18,2}. A215719

Number of length n+3 0..n arrays with no four elements in a row with pattern aabb (possibly a=b) and new values 0..n introduced in 0..n order. A242542

Number of length n+3 0..7 arrays with no four elements in a row with pattern aabb (possibly a=b) and new values 0..7 introduced in 0..7 order. A242548

T(n,k)=Number of length n+3 0..k arrays with no four elements in a row with pattern aabb (possibly a=b) and new values 0..k introduced in 0..k order. A242549

a(n+2) = 8·a(n+1) + 21·a(n), with a(1)=1, a(2)=8. A93103

E.g.f.: ∑_n>=0 2ⁿ * sinh(n·x)ⁿ. A320419

G.f. A(x) satisfies: A(x) = 1 + x*∑_n>=0 (A(x)ⁿ - 1/A(x)ⁿ)ⁿ. A304637