λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,969,150
3,969,150
2 × 3 × 52 × 47 × 563
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 47 × 563
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,070,784
Proper Divisor Sum 6,101,634
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3969137 ← → #3969151

Radix Representation

Decimal 3969150
Binary 1111001001000001111110 (22 bits)
Octal 0o17110176
Hexadecimal 0x3C907E

Divisor Catalog (48)

1 2 3 5 6 10 15 25 30 47 50 75 94 141 150 235 282 470 563 705 1,126 1,175 1,410 1,689 2,350 2,815 3,378 3,525 5,630 7,050 8,445 14,075 16,890 26,461 28,150 42,225 52,922 79,383 84,450 132,305 158,766 264,610 396,915 661,525 793,830 1,323,050 1,984,575 3,969,150

Collatz Trajectory (216 steps to reach 1)

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

3,969,150 1,984,575 5,953,726 2,976,863 8,930,590 4,465,295 13,395,886 6,697,943 20,093,830 10,046,915 30,140,746 15,070,373 45,211,120 22,605,560 11,302,780 5,651,390 2,825,695 8,477,086 4,238,543 12,715,630 6,357,815 19,073,446 9,536,723 28,610,170 14,305,085 42,915,256 21,457,628 10,728,814 5,364,407 16,093,222 8,046,611 24,139,834 12,069,917 36,209,752 18,104,876 9,052,438 4,526,219 13,578,658 6,789,329 20,367,988 10,183,994 5,091,997 15,275,992 7,637,996 3,818,998 1,909,499 5,728,498 2,864,249 8,592,748 4,296,374 2,148,187 6,444,562 3,222,281 9,666,844 4,833,422 2,416,711 7,250,134 3,625,067 10,875,202 5,437,601

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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