2⁵ × 3 × 5 × 7² × 13²

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 7^2 × 13^2

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 216

Divisor Sum (σ) 15,771,672

Proper Divisor Sum 11,796,792

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3974849 ← → #3974881

Radix Representation

Decimal	3974880
Binary	1111001010011011100000 (22 bits)
Octal	0o17123340
Hexadecimal	0x3CA6E0

Divisor Catalog (60 of 216)

1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 39 40 42 48 49 52 56 60 65 70 78 80 84 91 96 98 104 105 112 120 130 140 147 156 160 168 169 182 195 196 208 210 224 240 245 260 273 280

Collatz Trajectory (92 steps to reach 1)

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

3,974,880 1,987,440 993,720 496,860 248,430 124,215 372,646 186,323 558,970 279,485 838,456 419,228 209,614 104,807 314,422 157,211 471,634 235,817 707,452 353,726 176,863 530,590 265,295 795,886 397,943 1,193,830 596,915 1,790,746 895,373 2,686,120 1,343,060 671,530 335,765 1,007,296 503,648 251,824 125,912 62,956 31,478 15,739 47,218 23,609 70,828 35,414 17,707 53,122 26,561 79,684 39,842 19,921 59,764 29,882 14,941 44,824 22,412 11,206 5,603 16,810 8,405 25,216

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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