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Ratio Atlas
Atlas › Integer Profiles › Node 401,184
401,184
25 × 32 × 7 × 199
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^2 × 7 × 199
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 1,310,400
Proper Divisor Sum 909,216
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #401179 ← → #401201

Radix Representation

Decimal 401184
Binary 1100001111100100000 (19 bits)
Octal 0o1417440
Hexadecimal 0x61F20

Divisor Catalog (60 of 72)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 199 224 252 288 336 398 504 597 672 796 1,008 1,194 1,393 1,592 1,791 2,016 2,388 2,786 3,184 3,582 4,179 4,776 5,572 6,368 7,164 8,358 9,552 11,144 12,537 14,328 16,716 19,104

Collatz Trajectory (68 steps to reach 1)

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

401,184 200,592 100,296 50,148 25,074 12,537 37,612 18,806 9,403 28,210 14,105 42,316 21,158 10,579 31,738 15,869 47,608 23,804 11,902 5,951 17,854 8,927 26,782 13,391 40,174 20,087 60,262 30,131 90,394 45,197 135,592 67,796 33,898 16,949 50,848 25,424 12,712 6,356 3,178 1,589 4,768 2,384 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 #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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