2³ × 3 × 5 × 7 × 11 × 109

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 7 × 11 × 109

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 3,801,600

Proper Divisor Sum 2,794,440

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #1007137 ← → #1007161

Radix Representation

Decimal	1007160
Binary	11110101111000111000 (20 bits)
Octal	0o3657070
Hexadecimal	0xF5E38

Divisor Catalog (60 of 128)

1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 109 110 120 132 140 154 165 168 210 218 220 231 264 280 308 327 330 385 420 436 440 462 545 616 654 660 763

Collatz Trajectory (214 steps to reach 1)

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

1,007,160 503,580 251,790 125,895 377,686 188,843 566,530 283,265 849,796 424,898 212,449 637,348 318,674 159,337 478,012 239,006 119,503 358,510 179,255 537,766 268,883 806,650 403,325 1,209,976 604,988 302,494 151,247 453,742 226,871 680,614 340,307 1,020,922 510,461 1,531,384 765,692 382,846 191,423 574,270 287,135 861,406 430,703 1,292,110 646,055 1,938,166 969,083 2,907,250 1,453,625 4,360,876 2,180,438 1,090,219 3,270,658 1,635,329 4,905,988 2,452,994 1,226,497 3,679,492 1,839,746 919,873 2,759,620 1,379,810

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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