Properties of the Number 36803

Thirty-Six Thousand Eight Hundred Three

Basics

Value: 36802 → 36803 → 36804

Parity: odd

Prime: No

Previous Prime: 36793

Next Prime: 36809

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 13 × 19 × 149

Divisors: 1, 13, 19, 149, 247, 1937, 2831, 36803

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000111111000011

Octal: 107703

Duodecimal: 1936B

Hexadecimal: 8fc3

Square: 1354460809

Square Root: 191.8410800636819

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

Expansion of e.g.f. exp(exp(x)*(exp(x) + 1) - 2). A355291

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f. exp(∑_j=1..k (exp(j·x) - 1)). A355423

a(n) = n*(4·n²+5·n-3)/2. A126335

Number of n X 2 arrays of the minimum value of corresponding elements and their horizontal or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 n X 2 array. A220147

Number of partitions satisfying cn(1,5) < cn(2,5) + cn(3,5) and cn(4,5) < cn(2,5) + cn(3,5). A39888

Number of partitions satisfying (cn(1,5) <= cn(2,5) and cn(1,5) <= cn(3,5) and cn(4,5) <= cn(2,5) and cn(4,5) <= cn(3,5)). A36803