2⁷ × 5 × 7 × 13 × 71

Prime Factor Structure

Factorization String 2^7 × 5 × 7 × 13 × 71

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 12,337,920

Proper Divisor Sum 8,202,880

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #4135037 ← → #4135049

Radix Representation

Decimal	4135040
Binary	1111110001100010000000 (22 bits)
Octal	0o17614200
Hexadecimal	0x3F1880

Divisor Catalog (60 of 128)

1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 71 80 91 104 112 128 130 140 142 160 182 208 224 260 280 284 320 355 364 416 448 455 497 520 560 568 640 710 728 832 896 910 923 994 1,040 1,120 1,136 1,420 1,456

Collatz Trajectory (198 steps to reach 1)

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

4,135,040 2,067,520 1,033,760 516,880 258,440 129,220 64,610 32,305 96,916 48,458 24,229 72,688 36,344 18,172 9,086 4,543 13,630 6,815 20,446 10,223 30,670 15,335 46,006 23,003 69,010 34,505 103,516 51,758 25,879 77,638 38,819 116,458 58,229 174,688 87,344 43,672 21,836 10,918 5,459 16,378 8,189 24,568 12,284 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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