2⁶ × 3 × 5⁵ × 7

Prime Factor Structure

Factorization String 2^6 × 3 × 5^5 × 7

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 168

Divisor Sum (σ) 15,873,984

Proper Divisor Sum 11,673,984

Digit Sum / Digital Root 6 (Root: 6)

Adjacent Primes #4199989 ← → #4200013

Radix Representation

Decimal	4200000
Binary	10000000001011001000000 (23 bits)
Octal	0o20013100
Hexadecimal	0x401640

Divisor Catalog (60 of 168)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 70 75 80 84 96 100 105 112 120 125 140 150 160 168 175 192 200 210 224 240 250 280 300 320 336 350 375 400 420 448 480 500

Collatz Trajectory (92 steps to reach 1)

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

4,200,000 2,100,000 1,050,000 525,000 262,500 131,250 65,625 196,876 98,438 49,219 147,658 73,829 221,488 110,744 55,372 27,686 13,843 41,530 20,765 62,296 31,148 15,574 7,787 23,362 11,681 35,044 17,522 8,761 26,284 13,142 6,571 19,714 9,857 29,572 14,786 7,393 22,180 11,090 5,545 16,636 8,318 4,159 12,478 6,239 18,718 9,359 28,078 14,039 42,118 21,059 63,178 31,589 94,768 47,384 23,692 11,846 5,923 17,770 8,885 26,656

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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