λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,100,328
4,100,328
23 × 33 × 41 × 463
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^3 × 41 × 463
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 11,692,800
Proper Divisor Sum 7,592,472
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4100311 ← → #4100381

Radix Representation

Decimal 4100328
Binary 1111101001000011101000 (22 bits)
Octal 0o17510350
Hexadecimal 0x3E90E8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 463 492 738 926 984 1,107 1,389 1,476 1,852 2,214 2,778 2,952 3,704 4,167 4,428 5,556 8,334 8,856 11,112 12,501 16,668 18,983 25,002 33,336 37,966 50,004 56,949 75,932 100,008 113,898 151,864 170,847 227,796 341,694 455,592 512,541 683,388

Collatz Trajectory (92 steps to reach 1)

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

4,100,328 2,050,164 1,025,082 512,541 1,537,624 768,812 384,406 192,203 576,610 288,305 864,916 432,458 216,229 648,688 324,344 162,172 81,086 40,543 121,630 60,815 182,446 91,223 273,670 136,835 410,506 205,253 615,760 307,880 153,940 76,970 38,485 115,456 57,728 28,864 14,432 7,216 3,608 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372

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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