Properties of the Number 36205

Thirty-Six Thousand Two Hundred Five

Basics

Value: 36204 → 36205 → 36206

Parity: odd

Prime: No

Previous Prime: 36191

Next Prime: 36209

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 5 × 13 × 557

Divisors: 1, 5, 13, 65, 557, 2785, 7241, 36205

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110101101101

Octal: 106555

Duodecimal: 18B51

Hexadecimal: 8d6d

Square: 1310802025

Square Root: 190.2761151589973

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

Numbers of the form p·q*r where p, q, r are distinct primes congruent to 1 mod 4 such that Legendre(p/q) = Legendre(p/r) = Legendre(q/r) = -1. A323271

Triangle H(n,j) (n=1,2,3,..., j=2,3,4,...) read by rows: let X(k,l,n) := Stirling2(n,k)*Stirling2(k,l) for 1<=k<=n and 1<=l<=k. Then H(n,j)= ∑_{k+l=j, 1<=k<=n and 1<=l<=k} X(k,l,n). A136206

a(n) = 1 + n + ((n-1)*n²)/2. A218152

Total number of binary digits in the partitions of n into odd parts. A319142

a(n) = ∑_k=1..n (-1)^k+1 * floor(n/k)⁴. A344722

Number of nX5 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 0 1 vertically. A207021

Number of partitions satisfying cn(0,5) <= cn(1,5) + cn(4,5) + cn(2,5) and cn(0,5) <= cn(1,5) + cn(4,5) + cn(3,5). A39844

Records in the sequence A024573 defined by [1/{n·e}], {x} := x - [x]. A101262

Log base 6 (n) mod 229. A36205

Carmichael numbers of the form C = 37·73*(18n+91). A182206