Properties of the Number 28130

Twenty-Eight Thousand One Hundred Thirty

Basics

Value: 28129 → 28130 → 28131

Parity: even

Prime: No

Previous Prime: 28123

Next Prime: 28151

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 × 5 × 29 × 97

Divisors: 1, 2, 5, 10, 29, 58, 97, 145, 194, 290

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110111100010

Octal: 66742

Duodecimal: 14342

Hexadecimal: 6de2

Square: 791296900

Square Root: 167.72000476985446

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: Take a pentagon with all diagonals drawn, as in A331929. Then T(n,k) = number of k-sided polygons in that figure for k = 3, 4, ..., n+5. A331939

a(n) = 625n² - 364n + 53. A157621

Number of 3-element antichains on an unlabeled n-element set; equivalence classes of monotone Boolean functions of n variables with 3 mincuts under action of symmetric group S_n. A56778

Number of subsets of {1,2,...,n} such that no two elements differ by 1 or 5. A374737

Integers k such that there exists an integer 0<m<k such that σ(m)² + σ(k)² = 2*(m+k)². A385008

Numbers k such that the equation x² - k·y⁴ = -1 has a solution for which |y| > 2. A356488

Number of growing self-avoiding walks with displacement n on a half-infinite strip of height 5 with a trapped endpoint. A374302

Expansion of 1/((1-4x)(1-6x)(1-7x)(1-8x)). A28130

Number of n X 5 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 2 neighboring 1's. A297503

Sequence A154696 adjusted to leading one:t(n,m)=A154696(n,m)-A154696(n,0)+1. A174675