2⁷ × 3² × 5 × 11²

Prime Factor Structure

Factorization String 2^7 × 3^2 × 5 × 11^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 2,645,370

Proper Divisor Sum 1,948,410

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #696937 ← → #696961

Radix Representation

Decimal	696960
Binary	10101010001010000000 (20 bits)
Octal	0o2521200
Hexadecimal	0xAA280

Divisor Catalog (60 of 144)

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 64 66 72 80 88 90 96 99 110 120 121 128 132 144 160 165 176 180 192 198 220 240 242 264 288 320 330 352 360 363 384 396 440

Collatz Trajectory (61 steps to reach 1)

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

696,960 348,480 174,240 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

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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