Properties of the Number 9726

Nine Thousand Seven Hundred Twenty-Six

Basics

Value: 9725 → 9726 → 9727

Parity: even

Prime: No

Previous Prime: 9721

Next Prime: 9733

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 1621

Divisors: 1, 2, 3, 6, 1621, 3242, 4863, 9726

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010111111110

Octal: 22776

Duodecimal: 5766

Hexadecimal: 25fe

Square: 94595076

Square Root: 98.62048468751307

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

T(n,k)=Number of length n+2 0..k arrays with some pair in every consecutive three terms totalling exactly k. A245869

Numbers k > 1 such that, in base 5, k and k² contain the same digits in the same proportion. A61659

Pascal-(1,4,1) array. A81579

Smallest value of·such that M(x) = -n, where M(x) is Mertens's function A002321. A51401

T(n,k)=Number of nXk 0..2 arrays x(i,j) with each element horizontally, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3 and at least one element with value (x(i,j)-1) mod 3, and upper left element zero. A231037

a(n) = ∑_i=0..n ∑_j=0..n T(i,j), T given by A026747. A26756

a(n) = n! * ∑_k=0..n k³ / k!. A337001

a(n) is the smallest number k >= 2 for which k and k² contain the same digits in the same proportion in base n. A61664

Triangle read by rows: T(n,k) is the number of partitions of the set {1,2,...,n}, having exactly k blocks consisting only even entries (0<=k<=floor(n/2)). A124422

Initial members of abundant quadruplets, i.e., values of k such that (k, k+2, k+4, k+6) are all abundant numbers. A231089