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Ratio Atlas
Atlas › Integer Profiles › Node 12,012
12,012
22 × 3 × 7 × 11 × 13
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 11 × 13
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 37,632
Proper Divisor Sum 25,620
Digit Sum / Digital Root 6 (Root: 6)
Adjacent Primes #12011 ← → #12037

Radix Representation

Decimal 12012
Binary 10111011101100 (14 bits)
Octal 0o27354
Hexadecimal 0x2EEC

Divisor Catalog (48)

1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1,001 1,092 1,716 2,002 3,003 4,004 6,006 12,012

Collatz Trajectory (42 steps to reach 1)

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

12,012 6,006 3,003 9,010 4,505 13,516 6,758 3,379 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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