2⁴ × 3 × 5³ × 37

Prime Factor Structure

Factorization String 2^4 × 3 × 5^3 × 37

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 735,072

Proper Divisor Sum 513,072

Digit Sum / Digital Root 6 (Root: 6)

Adjacent Primes #221999 ← → #222007

Radix Representation

Decimal	222000
Binary	110110001100110000 (18 bits)
Octal	0o661460
Hexadecimal	0x36330

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 125 148 150 185 200 222 240 250 296 300 370 375 400 444 500 555 592 600 740 750 888 925 1,000 1,110 1,200 1,480 1,500 1,776 1,850 2,000 2,220 2,775 2,960 3,000

Collatz Trajectory (186 steps to reach 1)

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

222,000 111,000 55,500 27,750 13,875 41,626 20,813 62,440 31,220 15,610 7,805 23,416 11,708 5,854 2,927 8,782 4,391 13,174 6,587 19,762 9,881 29,644 14,822 7,411 22,234 11,117 33,352 16,676 8,338 4,169 12,508 6,254 3,127 9,382 4,691 14,074 7,037 21,112 10,556 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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