Properties of the Number 28565

Twenty-Eight Thousand Five Hundred Sixty-Five

Basics

Value: 28564 → 28565 → 28566

Parity: odd

Prime: No

Previous Prime: 28559

Next Prime: 28571

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 5 × 29 × 197

Divisors: 1, 5, 29, 145, 197, 985, 5713, 28565

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110111110010101

Octal: 67625

Duodecimal: 14645

Hexadecimal: 6f95

Square: 815959225

Square Root: 169.01183390520322

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

Numbers k such that k!!! + 1 is prime (0 is included by convention). A37083

T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2, 3 or 4 neighboring 1s. A297762

a(n) = n⁴+4 = (n²-2·n+2)*(n²+2·n+2) = ((n-1)²+1)*((n+1)²+1). A57781

a(n) = 54·n² - 1. A158656

a(n) = (1 + ∑_j=1..K-2 a(n-j)*a(n-j-1))/a(n-K) with a(1),...,a(K)=1, where K=6. A283918

Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..4 array extended with zeros and convolved with 1,-2,1. A222149

a(n) = 225·2ⁿ - 235. A278125

Number of nX3 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2, 3 or 4 neighboring 1s. A297757

Number of 7Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2, 3 or 4 neighboring 1s. A297768

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, 1, -1), (1, 0, 0), (1, 0, 1)}. A149875