Properties of the Number 9688

Nine Thousand Six Hundred Eighty-Eight

Basics

Value: 9687 → 9688 → 9689

Parity: even

Prime: No

Previous Prime: 9679

Next Prime: 9689

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 7 × 173

Divisors: 1, 2, 4, 7, 8, 14, 28, 56, 173, 346

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10010111011000

Octal: 22730

Duodecimal: 5734

Hexadecimal: 25d8

Square: 93857344

Square Root: 98.42763839491425

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 2^k+1 - 1 is prime. A90748

Number of partitions of n containing no part i of multiplicity i. A276429

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..3 introduced in row major order. A205609

T(n,k)=Number of nXk 0..1 arrays with rows nondecreasing and antidiagonals unimodal. A224133

Triangle of numbers related to the generalized Catalan sequence C(3;n+1) = A064063(n+1), n>=0. A115154

a(n) = p(n)*p(n+2) - 3·p(n+1), where p(n) is the n-th prime. A152528

Number of permutations of [n] whose lengths of increasing runs are distinct squares. A317445

Numbers k such that k·2^m-1 are composites for all exponents m in the range 0<=m<=k. A61154

Number of isosceles triangles, distinct up to congruence, on a centered hexagonal grid of size n. A241237

Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 329", based on the 5-celled von Neumann neighborhood. A265689