Properties of the Number 8724

Eight Thousand Seven Hundred Twenty-Four

Basics

Value: 8723 → 8724 → 8725

Parity: even

Prime: No

Previous Prime: 8719

Next Prime: 8731

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 727

Divisors: 1, 2, 3, 4, 6, 12, 727, 1454, 2181, 2908

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10001000010100

Octal: 21024

Duodecimal: 5070

Hexadecimal: 2214

Square: 76108176

Square Root: 93.40235543068493

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

Triangle of coefficients T(n,k) of xⁿ*y^k in g.f. A(x,y) satisfying y = ∑_n=-oo..+oo (-1)ⁿ * xⁿ * (y·A(x,y) + x^n-1)ⁿ⁺¹. A359670

Numbers k such that k divides 1 + ∑_j=1..k prime(j)⁵ = 1 + A122103(k). A128169

T(n,k)=Number of nXk 0..3 arrays with every row and column least squares fitting to a nonnegative slope straight line, with a single point array taken as having zero slope. A223165

Number of partitions p of n such that median(p) >= mean(p). A240221

Number of distinct differences between consecutive divisors (ordered by increasing magnitude) of n! which are not also divisors of n!. A60738

a(n) is the number of pairs of integer quadruples (b₁, b₂, b₃, b₄) and (c₁, c₂, c₃, c₄) satisfying 1 <= b₁ < b₂ < b₃ < b₄ < n, 1 <= c₁ < c₂ < c₃ < c₄ < n, b_i ≠ c_j for all i,j = 1,2,3,4 and ∏_i=1..4 sin(2*π*b_i/n) = ∏_i=1..4 sin(2*π*c_i/n). A63781

First differences of A000043. A134458

Number of different n X n symmetric matrices with nonnegative entries summing to 4. Also number of symmetric oriented graphs with 4 arcs on n points. A139594

Numerators of continued fraction convergents to sqrt(154). A41282

a(n) = 9·n² + 21·n - 6 (n>=1). A304374