399,231

3² × 7 × 6337

399,231 factors as 3^2 × 7 × 6337. Its 12 positive divisors give a proper-divisor sum of 259,921, so this integer is deficient. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 6337

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 659,152

Proper Divisor Sum 259,921

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #399227 ← → #399239

Radix Representation

Decimal	399231
Binary	1100001011101111111 (19 bits)
Octal	0o1413577
Hexadecimal	0x6177F

Divisor Catalog (12)

1 3 7 9 21 63 6,337 19,011 44,359 57,033 133,077 399,231

Collatz Trajectory (130 steps to reach 1)

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

399,231 1,197,694 598,847 1,796,542 898,271 2,694,814 1,347,407 4,042,222 2,021,111 6,063,334 3,031,667 9,095,002 4,547,501 13,642,504 6,821,252 3,410,626 1,705,313 5,115,940 2,557,970 1,278,985 3,836,956 1,918,478 959,239 2,877,718 1,438,859 4,316,578 2,158,289 6,474,868 3,237,434 1,618,717 4,856,152 2,428,076 1,214,038 607,019 1,821,058 910,529 2,731,588 1,365,794 682,897 2,048,692 1,024,346 512,173 1,536,520 768,260 384,130 192,065 576,196 288,098 144,049 432,148 216,074 108,037 324,112 162,056 81,028 40,514 20,257 60,772 30,386 15,193

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