Properties of the Number 53564

Fifty-Three Thousand Five Hundred Sixty-Four

Basics

Value: 53563 → 53564 → 53565

Parity: even

Prime: No

Previous Prime: 53551

Next Prime: 53569

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 7 × 1913

Divisors: 1, 2, 4, 7, 14, 28, 1913, 3826, 7652, 13391

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101000100111100

Octal: 150474

Duodecimal: 26BB8

Hexadecimal: d13c

Square: 2869102096

Square Root: 231.43897683838821

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+1)X(k+1) 0..1 arrays with each row and column prime, read as a binary number with top and left being the most significant bits. A261761

Row 4 of array in A265080. A265081

Indices of triple-safe primes: p=prime(n) is double-safe: q=(p-1)/2, r=(q-1)/2 and s=(r-1)/2 are all prime (and q is double-safe). A75134

Number of (n+1) X (4+1) 0..1 arrays with each row and column prime, read as a binary number with top and left being the most significant bits. A261757

Number of (n+1) X (6+1) 0..1 arrays with each row and column prime, read as a binary number with top and left being the most significant bits. A261759

Number of ternary Lyndon words of length n with trace 1 and subtrace 2 over GF(3). Same as the number of ternary Lyndon words of length n with trace 2 and subtrace 2 over GF(3). A53564

Number of lower triangles of a 6 X 6 0..n array with no element differing from any of its horizontal or vertical neighbors by more than one. A194935