Properties of the Number 87516

Eighty-Seven Thousand Five Hundred Sixteen

Basics

Value: 87515 → 87516 → 87517

Parity: even

Prime: No

Previous Prime: 87511

Next Prime: 87517

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 11 × 13 × 17

Divisors: 1, 2, 3, 4, 6, 9, 11, 12, 13, 17

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101010111011100

Octal: 252734

Duodecimal: 42790

Hexadecimal: 155dc

Square: 7659050256

Square Root: 295.8310328549052

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

Array T(i,j) = binomial(-1/2-i,j)*(-4)^j, i,j >= 0 read by antidiagonals going down. A46521

Array T(m,n) read by antidiagonals: T(m,n) (m >= 1, n >= 1) = number of ways to arrange the numbers 1,2,...,m·n in an m X n matrix so that each row and each column is increasing. A60854

3-dimensional Catalan numbers. A5789

a(n) = 2·C(2·n,n-1). A162551

Number of ways of partitioning n points on a circle into subsets only of sizes 2 and 3. A1005

Expansion of 1/(1-4·x)^9/2. A20920

Triangle read by rows: T(n,k) is the number of 2-stack sortable n-permutations with k runs. A82680

Distinct even elements in the 5-Pascal triangle A028313. A28320

Even elements to the right of the central elements of the 5-Pascal triangle A028313. A28321

6-dimensional Catalan numbers. A321975