λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,966,280
3,966,280
23 × 5 × 229 × 433
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 229 × 433
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,983,800
Proper Divisor Sum 5,017,520
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3966271 ← → #3966293

Radix Representation

Decimal 3966280
Binary 1111001000010101001000 (22 bits)
Octal 0o17102510
Hexadecimal 0x3C8548

Divisor Catalog (32)

1 2 4 5 8 10 20 40 229 433 458 866 916 1,145 1,732 1,832 2,165 2,290 3,464 4,330 4,580 8,660 9,160 17,320 99,157 198,314 396,628 495,785 793,256 991,570 1,983,140 3,966,280

Collatz Trajectory (291 steps to reach 1)

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

3,966,280 1,983,140 991,570 495,785 1,487,356 743,678 371,839 1,115,518 557,759 1,673,278 836,639 2,509,918 1,254,959 3,764,878 1,882,439 5,647,318 2,823,659 8,470,978 4,235,489 12,706,468 6,353,234 3,176,617 9,529,852 4,764,926 2,382,463 7,147,390 3,573,695 10,721,086 5,360,543 16,081,630 8,040,815 24,122,446 12,061,223 36,183,670 18,091,835 54,275,506 27,137,753 81,413,260 40,706,630 20,353,315 61,059,946 30,529,973 91,589,920 45,794,960 22,897,480 11,448,740 5,724,370 2,862,185 8,586,556 4,293,278 2,146,639 6,439,918 3,219,959 9,659,878 4,829,939 14,489,818 7,244,909 21,734,728 10,867,364 5,433,682

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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