λ
Ratio Atlas
Atlas › Integer Profiles › Node 445,200
445,200
24 × 3 × 52 × 7 × 53
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 5^2 × 7 × 53
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 120
Divisor Sum (σ) 1,660,608
Proper Divisor Sum 1,215,408
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #445199 ← → #445229

Radix Representation

Decimal 445200
Binary 1101100101100010000 (19 bits)
Octal 0o1545420
Hexadecimal 0x6CB10

Divisor Catalog (60 of 120)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 53 56 60 70 75 80 84 100 105 106 112 120 140 150 159 168 175 200 210 212 240 265 280 300 318 336 350 371 400 420 424 525 530 560 600 636

Collatz Trajectory (156 steps to reach 1)

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

445,200 222,600 111,300 55,650 27,825 83,476 41,738 20,869 62,608 31,304 15,652 7,826 3,913 11,740 5,870 2,935 8,806 4,403 13,210 6,605 19,816 9,908 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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