2³ × 3 × 5² × 13² × 41

Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 13^2 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 14,295,960

Proper Divisor Sum 10,138,560

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #4157399 ← → #4157429

Radix Representation

Decimal	4157400
Binary	1111110110111111011000 (22 bits)
Octal	0o17667730
Hexadecimal	0x3F6FD8

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 41 50 52 60 65 75 78 82 100 104 120 123 130 150 156 164 169 195 200 205 246 260 300 312 325 328 338 390 410 492 507 520 533 600 615 650 676 780 820 845 975 984

Collatz Trajectory (92 steps to reach 1)

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

4,157,400 2,078,700 1,039,350 519,675 1,559,026 779,513 2,338,540 1,169,270 584,635 1,753,906 876,953 2,630,860 1,315,430 657,715 1,973,146 986,573 2,959,720 1,479,860 739,930 369,965 1,109,896 554,948 277,474 138,737 416,212 208,106 104,053 312,160 156,080 78,040 39,020 19,510 9,755 29,266 14,633 43,900 21,950 10,975 32,926 16,463 49,390 24,695 74,086 37,043 111,130 55,565 166,696 83,348 41,674 20,837 62,512 31,256 15,628 7,814 3,907 11,722 5,861 17,584 8,792 4,396

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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