Properties of the Number 36193

Thirty-Six Thousand One Hundred Ninety-Three

Basics

Value: 36192 → 36193 → 36194

Parity: odd

Prime: No

Previous Prime: 36191

Next Prime: 36209

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 17 × 2129

Divisors: 1, 17, 2129, 36193

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000110101100001

Octal: 106541

Duodecimal: 18B41

Hexadecimal: 8d61

Square: 1309933249

Square Root: 190.24457942343588

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) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change 0,0 1,1 0,-1 -1,1 or 0,-2. A264244

a(n) = ∑_{k=0..floor(3·n/5)} binomial(k+2,2) * binomial(k,3·n-5·k). A392314

On a spirally numbered square grid, with labels starting at 1, this is the number of the last cell that an (n,n+1) leaper reaches before getting trapped, or -1 if it never gets trapped. A343179

a(n) = ∑_{k=0..floor(2·n/5)} binomial(k+2,2) * binomial(k,2·n-5·k). A392270

Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and w+2x+3y>1. A211622

Numerators of the partial sums of 1/d(prime(k)+1), where d is the number of divisors function. A386921

Number of -4..4 arrays x(i) of n+1 elements i=1..n+1 with x(i)+x(j), x(i+1)+x(j+1), -(x(i)+x(j+1)), and -(x(i+1)+x(j)) having one, two or three distinct values for every i<=n and j<=n. A211690

Number of (n+1) X (3+1) arrays of permutations of 0..n·4+3 with each element having directed index change 0,0 1,1 0,-1 -1,1 or 0,-2. A264239

Number of (5+1)X(n+1) arrays of permutations of 0..n·6+5 with each element having directed index change 0,0 1,1 0,-1 -1,1 or 0,-2. A264249

Log base 2 (n) mod 163. A36193