2³ × 3 × 11 × 13 × 41 × 59

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 13 × 41 × 59

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 25,401,600

Proper Divisor Sum 17,099,592

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #8301991 ← → #8302013

Radix Representation

Decimal	8302008
Binary	11111101010110110111000 (23 bits)
Octal	0o37526670
Hexadecimal	0x7EADB8

Divisor Catalog (60 of 128)

1 2 3 4 6 8 11 12 13 22 24 26 33 39 41 44 52 59 66 78 82 88 104 118 123 132 143 156 164 177 236 246 264 286 312 328 354 429 451 472 492 533 572 649 708 767 858 902 984 1,066 1,144 1,298 1,353 1,416 1,534 1,599 1,716 1,804 1,947 2,132

Collatz Trajectory (212 steps to reach 1)

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

8,302,008 4,151,004 2,075,502 1,037,751 3,113,254 1,556,627 4,669,882 2,334,941 7,004,824 3,502,412 1,751,206 875,603 2,626,810 1,313,405 3,940,216 1,970,108 985,054 492,527 1,477,582 738,791 2,216,374 1,108,187 3,324,562 1,662,281 4,986,844 2,493,422 1,246,711 3,740,134 1,870,067 5,610,202 2,805,101 8,415,304 4,207,652 2,103,826 1,051,913 3,155,740 1,577,870 788,935 2,366,806 1,183,403 3,550,210 1,775,105 5,325,316 2,662,658 1,331,329 3,993,988 1,996,994 998,497 2,995,492 1,497,746 748,873 2,246,620 1,123,310 561,655 1,684,966 842,483 2,527,450 1,263,725 3,791,176 1,895,588

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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