λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,948,672
3,948,672
27 × 3 × 7 × 13 × 113
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 3 × 7 × 13 × 113
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 128
Divisor Sum (σ) 13,023,360
Proper Divisor Sum 9,074,688
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3948667 ← → #3948673

Radix Representation

Decimal 3948672
Binary 1111000100000010000000 (22 bits)
Octal 0o17040200
Hexadecimal 0x3C4080

Divisor Catalog (60 of 128)

1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 113 128 156 168 182 192 208 224 226 273 312 336 339 364 384 416 448 452 546 624 672 678 728 791 832 896 904 1,092 1,248 1,344 1,356 1,456

Collatz Trajectory (66 steps to reach 1)

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

3,948,672 1,974,336 987,168 493,584 246,792 123,396 61,698 30,849 92,548 46,274 23,137 69,412 34,706 17,353 52,060 26,030 13,015 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 #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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