2⁴ × 3 × 5³ × 23 × 29

Prime Factor Structure

Factorization String 2^4 × 3 × 5^3 × 23 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 13,927,680

Proper Divisor Sum 9,925,680

Digit Sum / Digital Root 6 (Root: 6)

Adjacent Primes #4001999 ← → #4002001

Radix Representation

Decimal	4002000
Binary	1111010001000011010000 (22 bits)
Octal	0o17210320
Hexadecimal	0x3D10D0

Divisor Catalog (60 of 160)

1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 29 30 40 46 48 50 58 60 69 75 80 87 92 100 115 116 120 125 138 145 150 174 184 200 230 232 240 250 276 290 300 345 348 368 375 400 435 460 464 500 552 575 580 600 667

Collatz Trajectory (141 steps to reach 1)

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

4,002,000 2,001,000 1,000,500 500,250 250,125 750,376 375,188 187,594 93,797 281,392 140,696 70,348 35,174 17,587 52,762 26,381 79,144 39,572 19,786 9,893 29,680 14,840 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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