329,211

3³ × 89 × 137

329,211 factors as 3^3 × 89 × 137. Its 16 positive divisors give a proper-divisor sum of 167,589, so this integer is deficient. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 3^3 × 89 × 137

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 496,800

Proper Divisor Sum 167,589

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #329209 ← → #329233

Radix Representation

Decimal	329211
Binary	1010000010111111011 (19 bits)
Octal	0o1202773
Hexadecimal	0x505FB

Divisor Catalog (16)

1 3 9 27 89 137 267 411 801 1,233 2,403 3,699 12,193 36,579 109,737 329,211

Collatz Trajectory (184 steps to reach 1)

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

329,211 987,634 493,817 1,481,452 740,726 370,363 1,111,090 555,545 1,666,636 833,318 416,659 1,249,978 624,989 1,874,968 937,484 468,742 234,371 703,114 351,557 1,054,672 527,336 263,668 131,834 65,917 197,752 98,876 49,438 24,719 74,158 37,079 111,238 55,619 166,858 83,429 250,288 125,144 62,572 31,286 15,643 46,930 23,465 70,396 35,198 17,599 52,798 26,399 79,198 39,599 118,798 59,399 178,198 89,099 267,298 133,649 400,948 200,474 100,237 300,712 150,356 75,178

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