Properties of the Number 36612

Thirty-Six Thousand Six Hundred Twelve

Basics

Value: 36611 → 36612 → 36613

Parity: even

Prime: No

Previous Prime: 36607

Next Prime: 36629

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ⁴ × 113

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: 1000111100000100

Octal: 107404

Duodecimal: 19230

Hexadecimal: 8f04

Square: 1340438544

Square Root: 191.34262462922368

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 compositions of n having exactly three fixed points. A240738

Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 7. A252144

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 7. A252148

E.g.f. satisfies: A(x) = exp( Integral 1 + x·A(x)³ dx ), where the constant of integration is zero. A212914

Number of 4-ary rooted trees with n nodes and height at most 7. A36612

Decimal expansion of the area of Dürer's approximation of a regular pentagon with each side of unit length. A220674