λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,987,198
3,987,198
2 × 33 × 47 × 1571
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 47 × 1571
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,054,720
Proper Divisor Sum 5,067,522
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #3987173 ← → #3987199

Radix Representation

Decimal 3987198
Binary 1111001101011011111110 (22 bits)
Octal 0o17153376
Hexadecimal 0x3CD6FE

Divisor Catalog (32)

1 2 3 6 9 18 27 47 54 94 141 282 423 846 1,269 1,571 2,538 3,142 4,713 9,426 14,139 28,278 42,417 73,837 84,834 147,674 221,511 443,022 664,533 1,329,066 1,993,599 3,987,198

Collatz Trajectory (216 steps to reach 1)

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

3,987,198 1,993,599 5,980,798 2,990,399 8,971,198 4,485,599 13,456,798 6,728,399 20,185,198 10,092,599 30,277,798 15,138,899 45,416,698 22,708,349 68,125,048 34,062,524 17,031,262 8,515,631 25,546,894 12,773,447 38,320,342 19,160,171 57,480,514 28,740,257 86,220,772 43,110,386 21,555,193 64,665,580 32,332,790 16,166,395 48,499,186 24,249,593 72,748,780 36,374,390 18,187,195 54,561,586 27,280,793 81,842,380 40,921,190 20,460,595 61,381,786 30,690,893 92,072,680 46,036,340 23,018,170 11,509,085 34,527,256 17,263,628 8,631,814 4,315,907 12,947,722 6,473,861 19,421,584 9,710,792 4,855,396 2,427,698 1,213,849 3,641,548 1,820,774 910,387

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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