Properties of the Number 9613

Nine Thousand Six Hundred Thirteen

Basics

Value: 9612 → 9613 → 9614

Parity: odd

Prime: Yes

Previous Prime: 9601

Next Prime: 9619

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 9613

Divisors: 1, 9613

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010110001101

Octal: 22615

Duodecimal: 5691

Hexadecimal: 258d

Square: 92409769

Square Root: 98.04590761474952

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

Number of integer partitions of n with more than one part of least multiplicity. A362609

Prime numbers ending in the prime number 13. A244763

Initial term in sequence of four consecutive primes whose consecutive differences have d-pattern = [6, 4, 6]; short d-string notation for pattern = [646]. A78856

Primes arising in A089710. A89711

Primes such that the sum of the predecessor and successor primes is divisible by 31. A113155

Smallest prime p having n different cycles in decimal expansions of k/p, k=1..p-1. A54471

a(n) = r·a(ceiling(n/2))+s·a(floor(n/2)) with a(1)=1 and (r,s)=(2,3). A268525

Let u(1) = x and u(n+1) = (n²/u(n)) + 1 for n >= 1; then a(n) is such that u(n) = (b(n)*x + c(n))/(d(n)*x + a(n)) (in lowest terms) and a(n), b(n), c(n), d(n) are positive integers. A75829

Primes p such that the largest prime factor of p+1 has Erdős-Selfridge class+ < N-1 if p is of class N+. A129470

Primes p such that 6p+1 divides the Mersenne number M(p)=A000225(p). A188130