λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,349,692
12,349,692
22 × 33 × 41 × 2789
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^3 × 41 × 2789
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 32,810,400
Proper Divisor Sum 20,460,708
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #12349681 ← → #12349693

Radix Representation

Decimal 12349692
Binary 101111000111000011111100 (24 bits)
Octal 0o57070374
Hexadecimal 0xBC70FC

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1,107 1,476 2,214 2,789 4,428 5,578 8,367 11,156 16,734 25,101 33,468 50,202 75,303 100,404 114,349 150,606 228,698 301,212 343,047 457,396 686,094 1,029,141 1,372,188 2,058,282 3,087,423 4,116,564 6,174,846 12,349,692

Collatz Trajectory (135 steps to reach 1)

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

12,349,692 6,174,846 3,087,423 9,262,270 4,631,135 13,893,406 6,946,703 20,840,110 10,420,055 31,260,166 15,630,083 46,890,250 23,445,125 70,335,376 35,167,688 17,583,844 8,791,922 4,395,961 13,187,884 6,593,942 3,296,971 9,890,914 4,945,457 14,836,372 7,418,186 3,709,093 11,127,280 5,563,640 2,781,820 1,390,910 695,455 2,086,366 1,043,183 3,129,550 1,564,775 4,694,326 2,347,163 7,041,490 3,520,745 10,562,236 5,281,118 2,640,559 7,921,678 3,960,839 11,882,518 5,941,259 17,823,778 8,911,889 26,735,668 13,367,834 6,683,917 20,051,752 10,025,876 5,012,938 2,506,469 7,519,408 3,759,704 1,879,852 939,926 469,963

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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