λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,314,746
8,314,746
2 × 3 × 11 × 53 × 2377
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 11 × 53 × 2377
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,491,328
Proper Divisor Sum 10,176,582
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8314711 ← → #8314771

Radix Representation

Decimal 8314746
Binary 11111101101111101111010 (23 bits)
Octal 0o37557572
Hexadecimal 0x7EDF7A

Divisor Catalog (32)

1 2 3 6 11 22 33 53 66 106 159 318 583 1,166 1,749 2,377 3,498 4,754 7,131 14,262 26,147 52,294 78,441 125,981 156,882 251,962 377,943 755,886 1,385,791 2,771,582 4,157,373 8,314,746

Collatz Trajectory (323 steps to reach 1)

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

8,314,746 4,157,373 12,472,120 6,236,060 3,118,030 1,559,015 4,677,046 2,338,523 7,015,570 3,507,785 10,523,356 5,261,678 2,630,839 7,892,518 3,946,259 11,838,778 5,919,389 17,758,168 8,879,084 4,439,542 2,219,771 6,659,314 3,329,657 9,988,972 4,994,486 2,497,243 7,491,730 3,745,865 11,237,596 5,618,798 2,809,399 8,428,198 4,214,099 12,642,298 6,321,149 18,963,448 9,481,724 4,740,862 2,370,431 7,111,294 3,555,647 10,666,942 5,333,471 16,000,414 8,000,207 24,000,622 12,000,311 36,000,934 18,000,467 54,001,402 27,000,701 81,002,104 40,501,052 20,250,526 10,125,263 30,375,790 15,187,895 45,563,686 22,781,843 68,345,530

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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