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Ratio Atlas
Atlas › Integer Profiles › Node 2,188,116
2,188,116
22 × 32 × 7 × 19 × 457
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 19 × 457
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 6,668,480
Proper Divisor Sum 4,480,364
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2188111 ← → #2188117

Radix Representation

Decimal 2188116
Binary 1000010110001101010100 (22 bits)
Octal 0o10261524
Hexadecimal 0x216354

Divisor Catalog (60 of 72)

1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 457 532 684 798 914 1,197 1,371 1,596 1,828 2,394 2,742 3,199 4,113 4,788 5,484 6,398 8,226 8,683 9,597 12,796 16,452 17,366 19,194 26,049 28,791 34,732 38,388 52,098 57,582 60,781 78,147

Collatz Trajectory (73 steps to reach 1)

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

2,188,116 1,094,058 547,029 1,641,088 820,544 410,272 205,136 102,568 51,284 25,642 12,821 38,464 19,232 9,616 4,808 2,404 1,202 601 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11

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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