Properties of the Number 52784

Fifty-Two Thousand Seven Hundred Eighty-Four

Basics

Value: 52783 → 52784 → 52785

Parity: even

Prime: No

Previous Prime: 52783

Next Prime: 52807

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ⁴ × 3299

Divisors: 1, 2, 4, 8, 16, 3299, 6598, 13196, 26392, 52784

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100111000110000

Octal: 147060

Duodecimal: 26668

Hexadecimal: ce30

Square: 2786150656

Square Root: 229.74768769239006

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

Engel expansion whose sum has the concatenation of its terms as decimal part. Case a(1) = 3. A305667

Numbers n such that Mordell's equation y² = x³ - n has exactly 22 integral solutions. A179174

1/4 the number of (n+1)X(n+1) 0..2 arrays with every 2X2 subblock having distinct edge sums. A209375

1/4 the number of (n+1)X7 0..2 arrays with every 2X2 subblock having distinct edge sums. A209380

Number of n X 5 0..1 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281202

Number of n X 3 0..1 arrays with every element equal to 1, 2 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero. A301994

Number of mutual-visibility sets in the n-trapezohedral graph. A389189

T(n,k)=Number of nXk 0..1 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281205

T(n,k)=1/4 the number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having distinct edge sums. A209382

Array read by descending antidiagonals: T(n,m) is the number of sequences of length n >= 0 with elements in 1..m-1 such that the determinant of the Hankel matrix of any odd number of consecutive terms is not divisible by m >= 1. A353436