2⁵ × 3² × 5 × 11²

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5 × 11^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 653,562

Proper Divisor Sum 479,322

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #174221 ← → #174241

Radix Representation

Decimal	174240
Binary	101010100010100000 (18 bits)
Octal	0o524240
Hexadecimal	0x2A8A0

Divisor Catalog (60 of 108)

1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 121 132 144 160 165 176 180 198 220 240 242 264 288 330 352 360 363 396 440 480 484 495 528 605

Collatz Trajectory (59 steps to reach 1)

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

174,240 87,120 43,560 21,780 10,890 5,445 16,336 8,168 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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