Properties of the Number 9691

Nine Thousand Six Hundred Ninety-One

Basics

Value: 9690 → 9691 → 9692

Parity: odd

Prime: No

Previous Prime: 9689

Next Prime: 9697

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 11 × 881

Divisors: 1, 11, 881, 9691

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010111011011

Octal: 22733

Duodecimal: 5737

Hexadecimal: 25db

Square: 93915481

Square Root: 98.44287683728061

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

Triangular array T(n,k), read by rows: coefficients of strong divisibility sequence of polynomials p(1,x) = 1, p(2,x) = 1 + 3·x, p(n,x) = u·p(n-1,x) + v·p(n-2,x) for n >= 3, where u = p(2,x), v = 1 - x - x². A367208

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 5 6 or 7. A252679

Semiprimes in A056106. A113524

Weighted count of partitions with distinct parts. A5895

Array read by antidiagonals: T(n,k) is the number of {-1,0,1} n X k matrices with all rows and columns summing to zero up to permutations of rows. A377063

Semiprimes p such that next semiprime after p is p + 10. A217030

G.f. A(x) satisfies: A( A(x)² - A(x)³ ) = x·A(x). A268655

Principal diagonal of the convolution array A213762. A213763

Partial sums of icosahedral numbers (A006564). A302560

Odd composite integers m such that A004187(2·m-J(m,45)) == J(m,45) (mod m) and gcd(m,45)=1, where J(m,45) is the Jacobi symbol. A340124