λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,930,390
36,930,390
2 × 3 × 5 × 7 × 175859
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 175859
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 101,295,360
Proper Divisor Sum 64,364,970
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #36930389 ← → #36930419

Radix Representation

Decimal 36930390
Binary 10001100111000001101010110 (26 bits)
Octal 0o214701526
Hexadecimal 0x2338356

Divisor Catalog (32)

1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 175,859 351,718 527,577 879,295 1,055,154 1,231,013 1,758,590 2,462,026 2,637,885 3,693,039 5,275,770 6,155,065 7,386,078 12,310,130 18,465,195 36,930,390

Collatz Trajectory (165 steps to reach 1)

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

36,930,390 18,465,195 55,395,586 27,697,793 83,093,380 41,546,690 20,773,345 62,320,036 31,160,018 15,580,009 46,740,028 23,370,014 11,685,007 35,055,022 17,527,511 52,582,534 26,291,267 78,873,802 39,436,901 118,310,704 59,155,352 29,577,676 14,788,838 7,394,419 22,183,258 11,091,629 33,274,888 16,637,444 8,318,722 4,159,361 12,478,084 6,239,042 3,119,521 9,358,564 4,679,282 2,339,641 7,018,924 3,509,462 1,754,731 5,264,194 2,632,097 7,896,292 3,948,146 1,974,073 5,922,220 2,961,110 1,480,555 4,441,666 2,220,833 6,662,500 3,331,250 1,665,625 4,996,876 2,498,438 1,249,219 3,747,658 1,873,829 5,621,488 2,810,744 1,405,372

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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