λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,199,040
4,199,040
27 × 38 × 5
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 3^8 × 5
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 15,056,730
Proper Divisor Sum 10,857,690
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4199029 ← → #4199071

Radix Representation

Decimal 4199040
Binary 10000000001001010000000 (23 bits)
Octal 0o20011200
Hexadecimal 0x401280

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 243 270 288 320 324 360 384 405 432 480 486 540 576 640 648 720 729 810 864

Collatz Trajectory (123 steps to reach 1)

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

4,199,040 2,099,520 1,049,760 524,880 262,440 131,220 65,610 32,805 98,416 49,208 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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