36,369

3⁴ × 449

36,369 factors as 3^4 × 449. Its 10 positive divisors give a proper-divisor sum of 18,081, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 3^4 × 449

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 54,450

Proper Divisor Sum 18,081

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #36353 ← → #36373

Radix Representation

Decimal	36369
Binary	1000111000010001 (16 bits)
Octal	0o107021
Hexadecimal	0x8E11

Divisor Catalog (10)

1 3 9 27 81 449 1,347 4,041 12,123 36,369

Collatz Trajectory (142 steps to reach 1)

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

36,369 109,108 54,554 27,277 81,832 40,916 20,458 10,229 30,688 15,344 7,672 3,836 1,918 959 2,878 1,439 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233

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