Properties of the Number 52193

Fifty-Two Thousand One Hundred Ninety-Three

Basics

Value: 52192 → 52193 → 52194

Parity: odd

Prime: No

Previous Prime: 52189

Next Prime: 52201

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 19 × 41 × 67

Divisors: 1, 19, 41, 67, 779, 1273, 2747, 52193

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100101111100001

Octal: 145741

Duodecimal: 26255

Hexadecimal: cbe1

Square: 2724109249

Square Root: 228.45787357847837

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..2 arrays with no element equal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order. A231419

T(n,k)=Number of nXk 0..2 arrays with no element equal to more than one of its horizontal, diagonal or antidiagonal neighbors and with new values introduced in order 0 sequentially upwards. A281605

Total number of prime parts in all compositions of n. A102291

T(n,k)=Number of nXk 0..2 arrays with no element equal to more than one of its horizontal and vertical neighbors and with new values introduced in order 0 sequentially upwards. A280362

Numbers k such that sopfr(k) = sopfr(k + sopfr(k)). A50780

a(n) = numerator of b(n): b(n) = the maximum possible value for a continued fraction whose terms are a permutation of the terms of the simple continued fraction for H(n) = sum{k=1 to n} 1/k, the n-th harmonic number. A129082

Number of peaks at odd level in all Dyck paths of semilength n with no UUU's and no DDD's, (U=(1,1), D=(1,-1)). These Dyck paths are counted by the secondary structure numbers (A004148). A166292

Number of (n+1) X (1+1) 0..2 arrays with no element equal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order. A231413

Number of partitions of n with at most five part sizes. A364809

T(n,k)=Number of nXk 0..2 arrays with no three equal values forming an isosceles right triangle, and new values introduced in 0..2 order. A274065