2³ × 3² × 5 × 7 × 1567

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 7 × 1567

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 14,676,480

Proper Divisor Sum 10,727,640

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3948839 ← → #3948853

Radix Representation

Decimal	3948840
Binary	1111000100000100101000 (22 bits)
Octal	0o17040450
Hexadecimal	0x3C4128

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1,260 1,567 2,520 3,134 4,701 6,268 7,835 9,402 10,969 12,536 14,103 15,670 18,804 21,938

Collatz Trajectory (66 steps to reach 1)

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

3,948,840 1,974,420 987,210 493,605 1,480,816 740,408 370,204 185,102 92,551 277,654 138,827 416,482 208,241 624,724 312,362 156,181 468,544 234,272 117,136 58,568 29,284 14,642 7,321 21,964 10,982 5,491 16,474 8,237 24,712 12,356 6,178 3,089 9,268 4,634 2,317 6,952 3,476 1,738 869 2,608 1,304 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20

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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