Properties of the Number 9724

Nine Thousand Seven Hundred Twenty-Four

Basics

Value: 9723 → 9724 → 9725

Parity: even

Prime: No

Previous Prime: 9721

Next Prime: 9733

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 11 × 13 × 17

Divisors: 1, 2, 4, 11, 13, 17, 22, 26, 34, 44

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10010111111100

Octal: 22774

Duodecimal: 5764

Hexadecimal: 25fc

Square: 94556176

Square Root: 98.6103442849684

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 fixed points in range [A014137(n-1)..A014138(n-1)] of permutation A089864. A89408

Expansion of sqrt(1 - 4·x) in powers of x. A2420

a(n) = n³ + n² + n + 1. A53698

a(n) = (21ⁿ - 1)/20. A218724

Pairs (j, k) of numbers j<k such that φ(j) = φ(k), σ(j) = σ(k), d(j) = d(k). A134922

Expansion of (1 + x·C)*C, where C = (1 - (1 - 4·x)^1/2)/(2·x) is the g.f. for Catalan numbers, A000108. A68875

Triangle of Gaussian binomial coefficients [ n,k ] for q = 21. A22185

Numbers k such that k² divides 21^k-1. A128401

Triangle read by rows in which row n contains (2i)!*(2j)!/(i!*j!*(i+j)!) for i + j = n, i = 0..n. A68555

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change 0,0 0,1 1,0 or -1,-2. A264285