Properties of the Number 36396

Thirty-Six Thousand Three Hundred Ninety-Six

Basics

Value: 36395 → 36396 → 36397

Parity: even

Prime: No

Previous Prime: 36389

Next Prime: 36433

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ³ × 337

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111000101100

Octal: 107054

Duodecimal: 19090

Hexadecimal: 8e2c

Square: 1324668816

Square Root: 190.77735714701575

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 unimodal functions [1..n]->[0..2]. A223718

Number of noncrossing partitions of an n-set up to rotation and reflection with all blocks having a prime number of elements. A303875

Array used for numerators of g.f.s for column sequences of array A078741 ((3,3)-Stirling2). A89517

Numbers k such that k and k+1 are both divisible by the total binary weight of their divisors (A093653). A338514

a(n) = ∑_{k=0..floor(n/4)} binomial(n-3·k-1,k) * binomial(k,n-4·k). A383584

Values of Newton-Gregory forward interpolating polynomial (1/6)*(4·n⁴ - 60·n³ + 347·n² - 927·n + 978). A30442

Number of length n+6 0..2 arrays with no seven consecutive terms having the maximum of any three terms equal to the minimum of the remaining four terms. A249877

T(n,k)=Number of length n+6 0..k arrays with no seven consecutive terms having the maximum of any three terms equal to the minimum of the remaining four terms. A249883

Coefficients of cluster series for site percolation problem on simple cubic lattice with 1st and 2nd neighbor bonds. A36396