Properties of the Number 36633

Thirty-Six Thousand Six Hundred Thirty-Three

Basics

Value: 36632 → 36633 → 36634

Parity: odd

Prime: No

Previous Prime: 36629

Next Prime: 36637

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 12211

Divisors: 1, 3, 12211, 36633

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111100011001

Octal: 107431

Duodecimal: 19249

Hexadecimal: 8f19

Square: 1341976689

Square Root: 191.3974921465796

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 n with digits 3 and 6 only. A284633

Odd numbers n for which the number of iterations to reach the largest equals number of iterations to reach 1 from the largest in Collatz (3x+1) trajectory of n. A224533

Numbers n for which number of iterations to reach the largest equals number of iterations to reach 1 from the largest in Collatz (3x+1) trajectory of n. A224303

Square loops: the number of circular permutations (reversals not counted as different) of the numbers 0 to n such that the sum of any two consecutive numbers is a square. A108661

G.f.: x*(1+x+x²)*(1+6·x+8·x²+4·x³-x⁴)/((1+x)²*(1-x)⁴). A147691

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (0, 1, 0), (1, -1, 1), (1, 0, -1)}. A148393

Number of 4-ary rooted trees with n nodes and height exactly 9. A36633