Properties of the Number 28588

Twenty-Eight Thousand Five Hundred Eighty-Eight

Basics

Value: 28587 → 28588 → 28589

Parity: even

Prime: No

Previous Prime: 28579

Next Prime: 28591

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 7 × 1021

Divisors: 1, 2, 4, 7, 14, 28, 1021, 2042, 4084, 7147

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110111110101100

Octal: 67654

Duodecimal: 14664

Hexadecimal: 6fac

Square: 817273744

Square Root: 169.07986278679078

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

a(n) = ∑_{1 <= i, j, k <= n} gcd(i,j,k). A344522

Expansion of e.g.f. 1/(1 + log(1-x))^x. A351739

Wiener index of the n-web graph. A180576

Number of partitions of n whose minimal excluded multiplicity is even. A299408

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, -1, 1), (-1, 0, 1), (-1, 1, -1), (1, 0, 0)}. A148013

Starting positions of strings of three 9's in the decimal expansion of π. A83642

Number of (n+1)X7 0..3 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) nondecreasing in column and row directions, respectively. A203739

Number of (n+1) X (6+1) 0..3 arrays with nondecreasing x(i,j) + x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250705

Number of nX7 0..1 arrays with every element unequal to 0, 1, 2 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A318342

Expansion of (theta₃(z)*theta₃(5z)+theta₂(z)*theta₂(5z))³. A28588