λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,948,945
3,948,945
3 × 5 × 7 × 11 × 13 × 263
Abundant Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 11 × 13 × 263
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 8,515,584
Proper Divisor Sum 4,566,639
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #3948911 ← → #3948953

Radix Representation

Decimal 3948945
Binary 1111000100000110010001 (22 bits)
Octal 0o17040621
Hexadecimal 0x3C4191

Divisor Catalog (60 of 64)

1 3 5 7 11 13 15 21 33 35 39 55 65 77 91 105 143 165 195 231 263 273 385 429 455 715 789 1,001 1,155 1,315 1,365 1,841 2,145 2,893 3,003 3,419 3,945 5,005 5,523 8,679 9,205 10,257 14,465 15,015 17,095 20,251 23,933 27,615 37,609 43,395 51,285 60,753 71,799 101,255 112,827 119,665 188,045 263,263 303,765 358,995

Collatz Trajectory (66 steps to reach 1)

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

3,948,945 11,846,836 5,923,418 2,961,709 8,885,128 4,442,564 2,221,282 1,110,641 3,331,924 1,665,962 832,981 2,498,944 1,249,472 624,736 312,368 156,184 78,092 39,046 19,523 58,570 29,285 87,856 43,928 21,964 10,982 5,491 16,474 8,237 24,712 12,356 6,178 3,089 9,268 4,634 2,317 6,952 3,476 1,738 869 2,608 1,304 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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