Properties of the Number 36806

Thirty-Six Thousand Eight Hundred Six

Basics

Value: 36805 → 36806 → 36807

Parity: even

Prime: No

Previous Prime: 36793

Next Prime: 36809

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 7 × 11 × 239

Divisors: 1, 2, 7, 11, 14, 22, 77, 154, 239, 478

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111111000110

Octal: 107706

Duodecimal: 19372

Hexadecimal: 8fc6

Square: 1354681636

Square Root: 191.84889887617285

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

Number of (weakly) unimodal compositions of n where all parts 1, 2, ..., m appear where m is the largest part. A227038

a(n) is the solution to the postage stamp problem with 4 denominations and n stamps. A1209

a(n) = ∑_{k=0..floor(n/5)} (n-4·k)!/(n-5·k)!. A357570

Binomial(n,4) - A290447(n). A290461

Numbers n for which the alternating sum of the digits of nⁿ is 0. A244212

The continued fraction of the positive constant r < sqrt(3) such that the partial quotients equal the integer floor of the powers of r. A227232

a(n) = A006561(n) - A290447(n). A290465

a(n) = sum of 2^k-1 such that floor(n/prime(k)) is even. A371907

a(n) = product of those prime(k) such that floor(n/prime(k)) is even. A372007

Number of partitions satisfying (cn(0,5) = 0 and cn(2,5) <= cn(1,5) and cn(3,5) <= cn(1,5) and cn(2,5) <= cn(4,5) and cn(3,5) <= cn(4,5)). A36806