λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,126,098
7,126,098
2 × 3 × 7 × 383 × 443
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 383 × 443
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,367,616
Proper Divisor Sum 9,241,518
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7126069 ← → #7126109

Radix Representation

Decimal 7126098
Binary 11011001011110001010010 (23 bits)
Octal 0o33136122
Hexadecimal 0x6CBC52

Divisor Catalog (32)

1 2 3 6 7 14 21 42 383 443 766 886 1,149 1,329 2,298 2,658 2,681 3,101 5,362 6,202 8,043 9,303 16,086 18,606 169,669 339,338 509,007 1,018,014 1,187,683 2,375,366 3,563,049 7,126,098

Collatz Trajectory (310 steps to reach 1)

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

7,126,098 3,563,049 10,689,148 5,344,574 2,672,287 8,016,862 4,008,431 12,025,294 6,012,647 18,037,942 9,018,971 27,056,914 13,528,457 40,585,372 20,292,686 10,146,343 30,439,030 15,219,515 45,658,546 22,829,273 68,487,820 34,243,910 17,121,955 51,365,866 25,682,933 77,048,800 38,524,400 19,262,200 9,631,100 4,815,550 2,407,775 7,223,326 3,611,663 10,834,990 5,417,495 16,252,486 8,126,243 24,378,730 12,189,365 36,568,096 18,284,048 9,142,024 4,571,012 2,285,506 1,142,753 3,428,260 1,714,130 857,065 2,571,196 1,285,598 642,799 1,928,398 964,199 2,892,598 1,446,299 4,338,898 2,169,449 6,508,348 3,254,174 1,627,087

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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