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329,472

28 × 32 × 11 × 13
Abundant Even Composite

Prime Factor Structure

Factorization String 2^8 × 3^2 × 11 × 13
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 108
Divisor Sum (σ) 1,116,024
Proper Divisor Sum 786,552
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #329471 ← → #329473

Radix Representation

Decimal 329472
Binary 1010000011100000000 (19 bits)
Octal 0o1203400
Hexadecimal 0x50700

Divisor Catalog (60 of 108)

1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 64 66 72 78 88 96 99 104 117 128 132 143 144 156 176 192 198 208 234 256 264 286 288 312 352 384 396 416 429 468 528 572 576 624 704 768 792 832

Collatz Trajectory (153 steps to reach 1)

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

329,472 164,736 82,368 41,184 20,592 10,296 5,148 2,574 1,287 3,862 1,931 5,794 2,897 8,692 4,346 2,173 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364

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