Properties of the Number 9097

Nine Thousand Ninety-Seven

Basics

Value: 9096 → 9097 → 9098

Parity: odd

Prime: No

Previous Prime: 9091

Next Prime: 9103

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 11 × 827

Divisors: 1, 11, 827, 9097

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001110001001

Octal: 21611

Duodecimal: 5321

Hexadecimal: 2389

Square: 82755409

Square Root: 95.37819457297354

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

Numbers k such that (8·10^k + 49)/3 is prime. A270890

T(n,k)=Number of nXk 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally, diagonally or antidiagonally. A232149

Number of partitions of n having standard deviation σ > 2. A238661

Triangle, read by rows, where T(n,k) equals the dot product of the vector of terms in row n-1 from T(n-1,k) to T(n-1,n-1) with the vector of terms in column k+1 from T(k+1,k+1) to T(n,k+1): T(n,k) = ∑_j=0..n-k-1 T(n-1,j+k)*T(j+k+1,k+1) for n>k+1>0, with T(n,n) = 1 and T(n,n-1) = n (n>=1). A115085

Row sums of triangle A120072 (numerator triangle for H atom spectrum). A120074

Number of partitions p of n such that mean(p) <= multiplicity(min(p)). A240204

Number of partitions p of n such that (number of even numbers in p) >= 2*(number of odd numbers in p). A241644

Sum of the first n pairs of consecutive primes (for example, a(3) = (2+3) + (3+5) + (5+7) = 25). A102724

a(n) = 4·a(n-1) + 2·n - 1. A141291

Ulam's spiral (ENE spoke). A143856