327,141

3² × 163 × 223

327,141 factors as 3^2 × 163 × 223. Its 12 positive divisors give a proper-divisor sum of 150,427, so this integer is deficient. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 3^2 × 163 × 223

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 477,568

Proper Divisor Sum 150,427

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #327133 ← → #327163

Radix Representation

Decimal	327141
Binary	1001111110111100101 (19 bits)
Octal	0o1176745
Hexadecimal	0x4FDE5

Divisor Catalog (12)

1 3 9 163 223 489 669 1,467 2,007 36,349 109,047 327,141

Collatz Trajectory (184 steps to reach 1)

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

327,141 981,424 490,712 245,356 122,678 61,339 184,018 92,009 276,028 138,014 69,007 207,022 103,511 310,534 155,267 465,802 232,901 698,704 349,352 174,676 87,338 43,669 131,008 65,504 32,752 16,376 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 88,573 265,720 132,860 66,430 33,215 99,646 49,823 149,470 74,735

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