2⁴ × 3 × 5 × 7 × 13² × 31

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 7 × 13^2 × 31

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 240

Divisor Sum (σ) 34,854,912

Proper Divisor Sum 26,053,392

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8801519 ← → #8801521

Radix Representation

Decimal	8801520
Binary	100001100100110011110000 (24 bits)
Octal	0o41446360
Hexadecimal	0x864CF0

Divisor Catalog (60 of 240)

1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 31 35 39 40 42 48 52 56 60 62 65 70 78 80 84 91 93 104 105 112 120 124 130 140 155 156 168 169 182 186 195 208 210 217 240 248 260 273 280 310

Collatz Trajectory (88 steps to reach 1)

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

8,801,520 4,400,760 2,200,380 1,100,190 550,095 1,650,286 825,143 2,475,430 1,237,715 3,713,146 1,856,573 5,569,720 2,784,860 1,392,430 696,215 2,088,646 1,044,323 3,132,970 1,566,485 4,699,456 2,349,728 1,174,864 587,432 293,716 146,858 73,429 220,288 110,144 55,072 27,536 13,768 6,884 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260

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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