Properties of the Number 28310

Twenty-Eight Thousand Three Hundred Ten

Basics

Value: 28309 → 28310 → 28311

Parity: even

Prime: No

Previous Prime: 28309

Next Prime: 28319

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 × 5 × 19 × 149

Divisors: 1, 2, 5, 10, 19, 38, 95, 149, 190, 298

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110111010010110

Octal: 67226

Duodecimal: 14472

Hexadecimal: 6e96

Square: 801456100

Square Root: 168.25575770237404

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 read by rows: T(n,k) (1<=k<=n) given by T(n, 1) = T(n,n) = 1, otherwise T(n, k) = (m·n-m·k+1)*T(n-1,k-1) + (m·k-m+1)*T(n-1,k), where m = 5. A142460

At stage 1, start with a unit equilateral equiangular triangle. At each successive stage add 3*(n-1) new triangles around outside with edge-to-edge contacts. Sequence gives number of triangles (regardless of size) at n-th stage. A64412

Number of partitions of n into parts not of the form 13k, 13k+6 or 13k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 5 are greater than 1. A35954

Number of partitions of n with two sorts of part 1. A90764

Number of n X n symmetric binary matrices with each 1 adjacent to no more than 6 king-move neighboring 1s. A191482

Sum of the even parts in the partitions of n into 5 parts. A309547

Expansion of (1 - x + x²) / (1 - x)² in powers of x. A28310