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Ratio Atlas
Atlas › Integer Profiles › Node 226,800
226,800
24 × 34 × 52 × 7
Abundant Even Composite

Prime Factor Structure

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

Analytical Properties

Total Divisors 150
Divisor Sum (σ) 930,248
Proper Divisor Sum 703,448
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #226799 ← → #226813

Radix Representation

Decimal 226800
Binary 110111010111110000 (18 bits)
Octal 0o672760
Hexadecimal 0x375F0

Divisor Catalog (60 of 150)

1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 35 36 40 42 45 48 50 54 56 60 63 70 72 75 80 81 84 90 100 105 108 112 120 126 135 140 144 150 162 168 175 180 189 200 210 216 225 240

Collatz Trajectory (62 steps to reach 1)

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

226,800 113,400 56,700 28,350 14,175 42,526 21,263 63,790 31,895 95,686 47,843 143,530 71,765 215,296 107,648 53,824 26,912 13,456 6,728 3,364 1,682 841 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8

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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