Properties of the Number 28564

Twenty-Eight Thousand Five Hundred Sixty-Four

Basics

Value: 28563 → 28564 → 28565

Parity: even

Prime: No

Previous Prime: 28559

Next Prime: 28571

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 37 × 193

Divisors: 1, 2, 4, 37, 74, 148, 193, 386, 772, 7141

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 110111110010100

Octal: 67624

Duodecimal: 14644

Hexadecimal: 6f94

Square: 815902096

Square Root: 169.00887550658396

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

T(n,k) = number of n X k 0..4 arrays with no entry increasing mod 5 by 4 rightwards or downwards, starting with upper left zero. A222144

a(n) = ∑_k=1..n T(n,k), array T as in A049790. A49791

a(n) = smallest multiple of prime(n) such that a(n) +1 is a multiple of prime(n+1). A77338

Expansion of 1/∏_m>=1 (1 - m·q^m)². A22726

Convolution of natural numbers n >= 1 with Fibonacci numbers F(k), k >= 4. A33960

1/5 the number of colorings of an n X n square array with 5 colors. A68255

Number of n X 3 0..4 arrays with no entry increasing mod 5 by 4 rightwards or downwards, starting with upper left zero. A222139

Numerators of continued fraction convergents to sqrt(583). A42116

Indices of 0 in A348295: numbers m such that ∑_k=1..m (-1)^{floor(k*(sqrt(2}-1))) = ∑_k=1..m (-1)^A097508(k) = 0. A348299

Numbers n such that n + sum of prime factors of n = (n+1) + sum of prime factors of (n+1). A75654