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Ratio Atlas
Atlas › Integer Profiles › Node 12,012,016
12,012,016
24 × 41 × 18311
Deficient Even Composite

Prime Factor Structure

Factorization String 2^4 × 41 × 18311
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 23,842,224
Proper Divisor Sum 11,830,208
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #12011983 ← → #12012017

Radix Representation

Decimal 12012016
Binary 101101110100100111110000 (24 bits)
Octal 0o55644760
Hexadecimal 0xB749F0

Divisor Catalog (20)

1 2 4 8 16 41 82 164 328 656 18,311 36,622 73,244 146,488 292,976 750,751 1,501,502 3,003,004 6,006,008 12,012,016

Collatz Trajectory (246 steps to reach 1)

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

12,012,016 6,006,008 3,003,004 1,501,502 750,751 2,252,254 1,126,127 3,378,382 1,689,191 5,067,574 2,533,787 7,601,362 3,800,681 11,402,044 5,701,022 2,850,511 8,551,534 4,275,767 12,827,302 6,413,651 19,240,954 9,620,477 28,861,432 14,430,716 7,215,358 3,607,679 10,823,038 5,411,519 16,234,558 8,117,279 24,351,838 12,175,919 36,527,758 18,263,879 54,791,638 27,395,819 82,187,458 41,093,729 123,281,188 61,640,594 30,820,297 92,460,892 46,230,446 23,115,223 69,345,670 34,672,835 104,018,506 52,009,253 156,027,760 78,013,880 39,006,940 19,503,470 9,751,735 29,255,206 14,627,603 43,882,810 21,941,405 65,824,216 32,912,108 16,456,054

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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