2⁷ × 3 × 5³ × 89

Prime Factor Structure

Factorization String 2^7 × 3 × 5^3 × 89

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 14,320,800

Proper Divisor Sum 10,048,800

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #4271963 ← → #4272001

Radix Representation

Decimal	4272000
Binary	10000010010111110000000 (23 bits)
Octal	0o20227600
Hexadecimal	0x412F80

Divisor Catalog (60 of 128)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 89 96 100 120 125 128 150 160 178 192 200 240 250 267 300 320 356 375 384 400 445 480 500 534 600 640 712 750 800 890 960 1,000 1,068 1,200 1,335 1,424 1,500

Collatz Trajectory (123 steps to reach 1)

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

4,272,000 2,136,000 1,068,000 534,000 267,000 133,500 66,750 33,375 100,126 50,063 150,190 75,095 225,286 112,643 337,930 168,965 506,896 253,448 126,724 63,362 31,681 95,044 47,522 23,761 71,284 35,642 17,821 53,464 26,732 13,366 6,683 20,050 10,025 30,076 15,038 7,519 22,558 11,279 33,838 16,919 50,758 25,379 76,138 38,069 114,208 57,104 28,552 14,276 7,138 3,569 10,708 5,354 2,677 8,032 4,016 2,008 1,004 502 251 754

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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