Properties of the Number 9665

Nine Thousand Six Hundred Sixty-Five

Basics

Value: 9664 → 9665 → 9666

Parity: odd

Prime: No

Previous Prime: 9661

Next Prime: 9677

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 5 × 1933

Divisors: 1, 5, 1933, 9665

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10010111000001

Octal: 22701

Duodecimal: 5715

Hexadecimal: 25c1

Square: 93412225

Square Root: 98.3107318658548

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 adjacent equal parts than distinct parts. A360254

T(n,k) = Number of 0..k arrays of length n with each element differing from at least one neighbor by something other than 1, starting with 0. A221542

Sum of all the smaller parts raised to their corresponding larger parts of the partitions of n into exactly two parts. A226065

Sum of sums of omegas of the parts over all strict integer partitions of n. A325515

Expansion of ∑_k>=0 (k·x)^k/(1 - k² * x). A349836

Numbers k such that continued fraction of (1 + sqrt(k))/2 has period 17. A146340

a(n) = 3·n² + 38·n - 76 (n>=2). A304833

Number of Ulam numbers u (A002858) between powers of 2, 2ⁿ < u <= 2ⁿ⁺¹. A331729

Number of integers in base n having exactly three distinct digits such that the number formed by the consecutive subsequence of the initial j digits is divisible by j for all j in {1,2,3}. A333405

Number of integer partitions of n with origin-to-boundary graph-distance equal to 4. A384562