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Ratio Atlas
Atlas › Integer Profiles › Node 4,016,000
4,016,000
27 × 53 × 251
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 5^3 × 251
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 10,024,560
Proper Divisor Sum 6,008,560
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #4015993 ← → #4016003

Radix Representation

Decimal 4016000
Binary 1111010100011110000000 (22 bits)
Octal 0o17243600
Hexadecimal 0x3D4780

Divisor Catalog (60 of 64)

1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 251 320 400 500 502 640 800 1,000 1,004 1,255 1,600 2,000 2,008 2,510 3,200 4,000 4,016 5,020 6,275 8,000 8,032 10,040 12,550 16,000 16,064 20,080 25,100 31,375 32,128 40,160 50,200 62,750 80,320 100,400 125,500 160,640 200,800 251,000 401,600 502,000

Collatz Trajectory (154 steps to reach 1)

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

4,016,000 2,008,000 1,004,000 502,000 251,000 125,500 62,750 31,375 94,126 47,063 141,190 70,595 211,786 105,893 317,680 158,840 79,420 39,710 19,855 59,566 29,783 89,350 44,675 134,026 67,013 201,040 100,520 50,260 25,130 12,565 37,696 18,848 9,424 4,712 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121

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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