Properties of the Number 36824

Thirty-Six Thousand Eight Hundred Twenty-Four

Basics

Value: 36823 → 36824 → 36825

Parity: even

Prime: No

Previous Prime: 36821

Next Prime: 36833

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 4603

Divisors: 1, 2, 4, 8, 4603, 9206, 18412, 36824

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111111011000

Octal: 107730

Duodecimal: 19388

Hexadecimal: 8fd8

Square: 1356006976

Square Root: 191.89580506097573

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

a(n) = n*(8·n² - 5)/3. A63523

Generalized Pellian with 2nd term equal to 6. A48693

Number of noncrossing partitions up to rotation of an n-set without singleton blocks. A295198

Expansion of ∏_k>=1 (1 + x^k) * (1 + x^2·k) * (1 + x^3·k) * (1 + x^4·k) * (1 + x^5·k) / ((1 - x^k) * (1 - x^2·k) * (1 - x^3·k) * (1 - x^4·k) * (1 - x^5·k)). A327050

Representation degeneracies for boson strings. A5293

Numbers having four 5's in base 9. A43476

Triple factorial array, read by antidiagonals, where row n+1 is generated from row n by first removing terms in row n at positions {[m*(m+5)/6], m >= 0} and then taking partial sums, starting with all 1's in row 0. A136212

Number of partitions satisfying (cn(0,5) = cn(1,5) = cn(4,5) and cn(0,5) <= cn(2,5) and cn(0,5) <= cn(3,5)). A36824

Positive integers whose square can be expressed as k·x²+(k+1)*x+(k+2) with k and·positive integers. A239064