λ
Ratio Atlas
Atlas › Integer Profiles › Node 468,600
468,600
23 × 3 × 52 × 11 × 71
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 11 × 71
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 1,607,040
Proper Divisor Sum 1,138,440
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #468599 ← → #468613

Radix Representation

Decimal 468600
Binary 1110010011001111000 (19 bits)
Octal 0o1623170
Hexadecimal 0x72678

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 71 75 88 100 110 120 132 142 150 165 200 213 220 264 275 284 300 330 355 426 440 550 568 600 660 710 781 825 852 1,065 1,100 1,320 1,420 1,562 1,650 1,704 1,775

Collatz Trajectory (63 steps to reach 1)

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

468,600 234,300 117,150 58,575 175,726 87,863 263,590 131,795 395,386 197,693 593,080 296,540 148,270 74,135 222,406 111,203 333,610 166,805 500,416 250,208 125,104 62,552 31,276 15,638 7,819 23,458 11,729 35,188 17,594 8,797 26,392 13,196 6,598 3,299 9,898 4,949 14,848 7,424 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16

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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