λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,683,580
9,683,580
22 × 3 × 5 × 251 × 643
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 251 × 643
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 27,264,384
Proper Divisor Sum 17,580,804
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9683579 ← → #9683599

Radix Representation

Decimal 9683580
Binary 100100111100001001111100 (24 bits)
Octal 0o44741174
Hexadecimal 0x93C27C

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 60 251 502 643 753 1,004 1,255 1,286 1,506 1,929 2,510 2,572 3,012 3,215 3,765 3,858 5,020 6,430 7,530 7,716 9,645 12,860 15,060 19,290 38,580 161,393 322,786 484,179 645,572 806,965 968,358 1,613,930 1,936,716 2,420,895 3,227,860 4,841,790 9,683,580

Collatz Trajectory (313 steps to reach 1)

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

9,683,580 4,841,790 2,420,895 7,262,686 3,631,343 10,894,030 5,447,015 16,341,046 8,170,523 24,511,570 12,255,785 36,767,356 18,383,678 9,191,839 27,575,518 13,787,759 41,363,278 20,681,639 62,044,918 31,022,459 93,067,378 46,533,689 139,601,068 69,800,534 34,900,267 104,700,802 52,350,401 157,051,204 78,525,602 39,262,801 117,788,404 58,894,202 29,447,101 88,341,304 44,170,652 22,085,326 11,042,663 33,127,990 16,563,995 49,691,986 24,845,993 74,537,980 37,268,990 18,634,495 55,903,486 27,951,743 83,855,230 41,927,615 125,782,846 62,891,423 188,674,270 94,337,135 283,011,406 141,505,703 424,517,110 212,258,555 636,775,666 318,387,833 955,163,500 477,581,750

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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