λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,209,730
6,209,730
2 × 33 × 5 × 109 × 211
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 109 × 211
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 16,790,400
Proper Divisor Sum 10,580,670
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6209729 ← → #6209773

Radix Representation

Decimal 6209730
Binary 10111101100000011000010 (23 bits)
Octal 0o27540302
Hexadecimal 0x5EC0C2

Divisor Catalog (60 of 64)

1 2 3 5 6 9 10 15 18 27 30 45 54 90 109 135 211 218 270 327 422 545 633 654 981 1,055 1,090 1,266 1,635 1,899 1,962 2,110 2,943 3,165 3,270 3,798 4,905 5,697 5,886 6,330 9,495 9,810 11,394 14,715 18,990 22,999 28,485 29,430 45,998 56,970 68,997 114,995 137,994 206,991 229,990 344,985 413,982 620,973 689,970 1,034,955

Collatz Trajectory (196 steps to reach 1)

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

6,209,730 3,104,865 9,314,596 4,657,298 2,328,649 6,985,948 3,492,974 1,746,487 5,239,462 2,619,731 7,859,194 3,929,597 11,788,792 5,894,396 2,947,198 1,473,599 4,420,798 2,210,399 6,631,198 3,315,599 9,946,798 4,973,399 14,920,198 7,460,099 22,380,298 11,190,149 33,570,448 16,785,224 8,392,612 4,196,306 2,098,153 6,294,460 3,147,230 1,573,615 4,720,846 2,360,423 7,081,270 3,540,635 10,621,906 5,310,953 15,932,860 7,966,430 3,983,215 11,949,646 5,974,823 17,924,470 8,962,235 26,886,706 13,443,353 40,330,060 20,165,030 10,082,515 30,247,546 15,123,773 45,371,320 22,685,660 11,342,830 5,671,415 17,014,246 8,507,123

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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