λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,931,330
6,931,330
2 × 5 × 7 × 83 × 1193
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7 × 83 × 1193
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,442,624
Proper Divisor Sum 7,511,294
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #6931313 ← → #6931339

Radix Representation

Decimal 6931330
Binary 11010011100001110000010 (23 bits)
Octal 0o32341602
Hexadecimal 0x69C382

Divisor Catalog (32)

1 2 5 7 10 14 35 70 83 166 415 581 830 1,162 1,193 2,386 2,905 5,810 5,965 8,351 11,930 16,702 41,755 83,510 99,019 198,038 495,095 693,133 990,190 1,386,266 3,465,665 6,931,330

Collatz Trajectory (209 steps to reach 1)

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

6,931,330 3,465,665 10,396,996 5,198,498 2,599,249 7,797,748 3,898,874 1,949,437 5,848,312 2,924,156 1,462,078 731,039 2,193,118 1,096,559 3,289,678 1,644,839 4,934,518 2,467,259 7,401,778 3,700,889 11,102,668 5,551,334 2,775,667 8,327,002 4,163,501 12,490,504 6,245,252 3,122,626 1,561,313 4,683,940 2,341,970 1,170,985 3,512,956 1,756,478 878,239 2,634,718 1,317,359 3,952,078 1,976,039 5,928,118 2,964,059 8,892,178 4,446,089 13,338,268 6,669,134 3,334,567 10,003,702 5,001,851 15,005,554 7,502,777 22,508,332 11,254,166 5,627,083 16,881,250 8,440,625 25,321,876 12,660,938 6,330,469 18,991,408 9,495,704

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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