387,657

3² × 19 × 2267

387,657 factors as 3^2 × 19 × 2267. Its 12 positive divisors give a proper-divisor sum of 202,023, so this integer is deficient. The Collatz stopping time is 192 steps.

Prime Factor Structure

Factorization String 3^2 × 19 × 2267

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 589,680

Proper Divisor Sum 202,023

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #387641 ← → #387659

Radix Representation

Decimal	387657
Binary	1011110101001001001 (19 bits)
Octal	0o1365111
Hexadecimal	0x5EA49

Divisor Catalog (12)

1 3 9 19 57 171 2,267 6,801 20,403 43,073 129,219 387,657

Collatz Trajectory (192 steps to reach 1)

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

387,657 1,162,972 581,486 290,743 872,230 436,115 1,308,346 654,173 1,962,520 981,260 490,630 245,315 735,946 367,973 1,103,920 551,960 275,980 137,990 68,995 206,986 103,493 310,480 155,240 77,620 38,810 19,405 58,216 29,108 14,554 7,277 21,832 10,916 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146 88,573

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