2⁶ × 5³ × 7²

Prime Factor Structure

Factorization String 2^6 × 5^3 × 7^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 1,129,284

Proper Divisor Sum 737,284

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #391999 ← → #392011

Radix Representation

Decimal	392000
Binary	1011111101101000000 (19 bits)
Octal	0o1375500
Hexadecimal	0x5FB40

Divisor Catalog (60 of 84)

1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 125 140 160 175 196 200 224 245 250 280 320 350 392 400 448 490 500 560 700 784 800 875 980 1,000 1,120 1,225 1,400 1,568 1,600 1,750 1,960 2,000 2,240 2,450 2,800 3,136

Collatz Trajectory (68 steps to reach 1)

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

392,000 196,000 98,000 49,000 24,500 12,250 6,125 18,376 9,188 4,594 2,297 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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