Properties of the Number 36817

Thirty-Six Thousand Eight Hundred Seventeen

Basics

Value: 36816 → 36817 → 36818

Parity: odd

Prime: No

Previous Prime: 36809

Next Prime: 36821

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 11 × 3347

Divisors: 1, 11, 3347, 36817

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111111010001

Octal: 107721

Duodecimal: 19381

Hexadecimal: 8fd1

Square: 1355491489

Square Root: 191.87756512943352

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 (3-2·x-3·x²)/(1-x-x²-x³). A141523

Partitions with superdiagonal growth: number of partitions (p0, p1, p2, ...) of n with π - p0 >= i. A238860

Expansion of ∏_k>=1 1 / ((1-x^3·k-1)^3·k-1 * (1-x^3·k-2)^3·k-2). A262923

Expansion of (1-x)/(1-x+x²+x³). A78016

Expansion of (1-x)/(1 + x + x² - x³). A78046

T(n,k)=Number of nXk 0..3 arrays with no three equal values forming an isosceles triangle, and new values introduced in 0..3 order. A273968

a(n) = -(A(n) - A(n-1)) where A(n) = A057597(n+1), for n >= 0. A319200

Number of nX4 0..3 arrays with no three equal values forming an isosceles triangle, and new values introduced in 0..3 order. A273967

Expansion of the solution of a functional equation. A112482

Number of partitions satisfying (cn(1,5) = cn(4,5) and cn(0,5) <= cn(2,5) and cn(0,5) <= cn(3,5) and cn(1,5) <= cn(2,5) and cn(1,5) <= cn(3,5)). A36817