λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,309,470
8,309,470
2 × 5 × 13 × 41 × 1559
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 13 × 41 × 1559
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,511,040
Proper Divisor Sum 8,201,570
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8309467 ← → #8309473

Radix Representation

Decimal 8309470
Binary 11111101100101011011110 (23 bits)
Octal 0o37545336
Hexadecimal 0x7ECADE

Divisor Catalog (32)

1 2 5 10 13 26 41 65 82 130 205 410 533 1,066 1,559 2,665 3,118 5,330 7,795 15,590 20,267 40,534 63,919 101,335 127,838 202,670 319,595 639,190 830,947 1,661,894 4,154,735 8,309,470

Collatz Trajectory (160 steps to reach 1)

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

8,309,470 4,154,735 12,464,206 6,232,103 18,696,310 9,348,155 28,044,466 14,022,233 42,066,700 21,033,350 10,516,675 31,550,026 15,775,013 47,325,040 23,662,520 11,831,260 5,915,630 2,957,815 8,873,446 4,436,723 13,310,170 6,655,085 19,965,256 9,982,628 4,991,314 2,495,657 7,486,972 3,743,486 1,871,743 5,615,230 2,807,615 8,422,846 4,211,423 12,634,270 6,317,135 18,951,406 9,475,703 28,427,110 14,213,555 42,640,666 21,320,333 63,961,000 31,980,500 15,990,250 7,995,125 23,985,376 11,992,688 5,996,344 2,998,172 1,499,086 749,543 2,248,630 1,124,315 3,372,946 1,686,473 5,059,420 2,529,710 1,264,855 3,794,566 1,897,283

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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