Properties of the Number 36357

Thirty-Six Thousand Three Hundred Fifty-Seven

Basics

Value: 36356 → 36357 → 36358

Parity: odd

Prime: No

Previous Prime: 36353

Next Prime: 36373

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 12119

Divisors: 1, 3, 12119, 36357

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111000000101

Octal: 107005

Duodecimal: 19059

Hexadecimal: 8e05

Square: 1321831449

Square Root: 190.6751163628857

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) is the number of permutations of length n that avoid the pattern 321 and the mesh pattern (12, 174) or the same sequence for the mesh pattern (12, 234). A289587

a(n)=a(n-1)*(2^K)+ n*(n+1)/2 ; a(0)=1; K=floor(log₂ n*(n+1)/2). A136310

E.g.f. satisfies A(x) * log(A(x)) = exp(x·A(x)³) - 1. A357011

Number of n X n arrays of squares of integers with every (n-1)X(n-1) subblock summing to 4. A159356

Erroneous version of A000104. A36357