327,105

3³ × 5 × 2423

Starting at 327,105, the Collatz iteration reaches 1 after 184 steps. The first transition is 981316; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 5 × 2423

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 581,760

Proper Divisor Sum 254,655

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #327079 ← → #327127

Radix Representation

Decimal	327105
Binary	1001111110111000001 (19 bits)
Octal	0o1176701
Hexadecimal	0x4FDC1

Divisor Catalog (16)

1 3 5 9 15 27 45 135 2,423 7,269 12,115 21,807 36,345 65,421 109,035 327,105

Collatz Trajectory (184 steps to reach 1)

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

327,105 981,316 490,658 245,329 735,988 367,994 183,997 551,992 275,996 137,998 68,999 206,998 103,499 310,498 155,249 465,748 232,874 116,437 349,312 174,656 87,328 43,664 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 88,573 265,720 132,860 66,430 33,215 99,646 49,823 149,470 74,735

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