Properties of the Number 28291

Twenty-Eight Thousand Two Hundred Ninety-One

Basics

Value: 28290 → 28291 → 28292

Parity: odd

Prime: No

Previous Prime: 28289

Next Prime: 28297

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 19 × 1489

Divisors: 1, 19, 1489, 28291

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 110111010000011

Octal: 67203

Duodecimal: 14457

Hexadecimal: 6e83

Square: 800380681

Square Root: 168.1992865621017

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

Indices of Belphegor primes: numbers k such that the decimal number 1 0...0(k 0's) 666 0...0(k 0's) 1 (i.e., A232449(k)) is prime. A232448

Indices of high points in A245340. A370959

a(0)=1, a(1)=2, a(2)=6, a(3)=18; for n >= 4, a(n) = 6·a(n-1) - 11·a(n-2) + 6·a(n-3) - a(n-4). A94864

Number of partitions of n with difference -8 between the number of odd parts and the number of even parts, both counted without multiplicity. A242684

Number of (n+1) X (5+1) 0..1 arrays with no 2 X 2 subblock having the sum of its diagonal elements greater than the maximum of its antidiagonal elements. A251125

Triangle read by rows: T(n,k) is the number of k-cell columns in all directed column-convex polyominoes of area n (1<=k<=n). A121468

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 1), (-1, 1, 1), (0, -1, 1), (1, 0, -1), (1, 0, 0)}. A148888

Lexicographically earliest sequence of distinct positive integers such that a(n), a(n+1) and the product a(n)*a(n+1) have in common the substring n. A333933

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no 2X2 subblock having the sum of its diagonal elements greater than the maximum of its antidiagonal elements. A251128

Expansion of 1/((1-x)²(1-x²)(1-x³)(1-x⁵)) in powers of x. A28291