2⁴ × 3² × 5 × 7 × 1741

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 7 × 1741

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 33,697,248

Proper Divisor Sum 24,922,608

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8774639 ← → #8774659

Radix Representation

Decimal	8774640
Binary	100001011110001111110000 (24 bits)
Octal	0o41361760
Hexadecimal	0x85E3F0

Divisor Catalog (60 of 120)

1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1,008 1,260 1,680 1,741 2,520

Collatz Trajectory (212 steps to reach 1)

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

8,774,640 4,387,320 2,193,660 1,096,830 548,415 1,645,246 822,623 2,467,870 1,233,935 3,701,806 1,850,903 5,552,710 2,776,355 8,329,066 4,164,533 12,493,600 6,246,800 3,123,400 1,561,700 780,850 390,425 1,171,276 585,638 292,819 878,458 439,229 1,317,688 658,844 329,422 164,711 494,134 247,067 741,202 370,601 1,111,804 555,902 277,951 833,854 416,927 1,250,782 625,391 1,876,174 938,087 2,814,262 1,407,131 4,221,394 2,110,697 6,332,092 3,166,046 1,583,023 4,749,070 2,374,535 7,123,606 3,561,803 10,685,410 5,342,705 16,028,116 8,014,058 4,007,029 12,021,088

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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