λ
Ratio Atlas
Atlas › Integer Profiles › Node 400,680
400,680
23 × 33 × 5 × 7 × 53
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^3 × 5 × 7 × 53
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 128
Divisor Sum (σ) 1,555,200
Proper Divisor Sum 1,154,520
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #400679 ← → #400681

Radix Representation

Decimal 400680
Binary 1100001110100101000 (19 bits)
Octal 0o1416450
Hexadecimal 0x61D28

Divisor Catalog (60 of 128)

1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 53 54 56 60 63 70 72 84 90 105 106 108 120 126 135 140 159 168 180 189 210 212 216 252 265 270 280 315 318 360 371 378 420 424 477

Collatz Trajectory (68 steps to reach 1)

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

400,680 200,340 100,170 50,085 150,256 75,128 37,564 18,782 9,391 28,174 14,087 42,262 21,131 63,394 31,697 95,092 47,546 23,773 71,320 35,660 17,830 8,915 26,746 13,373 40,120 20,060 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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