Properties of the Number 9965

Nine Thousand Nine Hundred Sixty-Five

Basics

Value: 9964 → 9965 → 9966

Parity: odd

Prime: No

Previous Prime: 9949

Next Prime: 9967

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 5 × 1993

Divisors: 1, 5, 1993, 9965

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011011101101

Octal: 23355

Duodecimal: 5925

Hexadecimal: 26ed

Square: 99301225

Square Root: 99.82484660644363

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 the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 10. A31423

Expansion of ∏_k>=2 1/(1 - x^k)^ω(k), where ω(k) is the number of distinct primes dividing k (A001221). A293548

Sum over each antidiagonal of A248011. A248016

Parameters k for which the Tate-Shafarevich group Ш of the elliptic curve y²=x³+k has order 16. A179130

Number of partitions of n with six parts in which no part occurs more than twice. A320594

Numbers k such that the continued fraction for sqrt(k) has period 37. A20376

Number of prime powers of prime numbers less than 10ⁿ. A76700

Number of binary strings of length n with equal numbers of 000 and 101 substrings. A164140

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 393", based on the 5-celled von Neumann neighborhood. A271604

The sum of the numbers on the perimeter of the n X n diamond frame, located at the top of the numerical pyramid containing the positive integers in natural order. A359096