36,207

3⁵ × 149

36,207 is odd and not a perfect square. Its factorization is 3^5 × 149 and its 12 divisors sum to 54,600.

Prime Factor Structure

Factorization String 3^5 × 149

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 54,600

Proper Divisor Sum 18,393

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #36191 ← → #36209

Radix Representation

Decimal	36207
Binary	1000110101101111 (16 bits)
Octal	0o106557
Hexadecimal	0x8D6F

Divisor Catalog (12)

1 3 9 27 81 149 243 447 1,341 4,023 12,069 36,207

Collatz Trajectory (93 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

36,207 108,622 54,311 162,934 81,467 244,402 122,201 366,604 183,302 91,651 274,954 137,477 412,432 206,216 103,108 51,554 25,777 77,332 38,666 19,333 58,000 29,000 14,500 7,250 3,625 10,876 5,438 2,719 8,158 4,079 12,238 6,119 18,358 9,179 27,538 13,769 41,308 20,654 10,327 30,982 15,491 46,474 23,237 69,712 34,856 17,428 8,714 4,357 13,072 6,536 3,268 1,634 817 2,452 1,226 613 1,840 920 460 230

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