λ
Ratio Atlas
Atlas › Integer Profiles › Node 73,042,002
73,042,002
2 × 32 × 11 × 368899
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 368899
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 172,645,200
Proper Divisor Sum 99,603,198
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #73041977 ← → #73042019

Radix Representation

Decimal 73042002
Binary 100010110101000100001010010 (27 bits)
Octal 0o426504122
Hexadecimal 0x45A8852

Divisor Catalog (24)

1 2 3 6 9 11 18 22 33 66 99 198 368,899 737,798 1,106,697 2,213,394 3,320,091 4,057,889 6,640,182 8,115,778 12,173,667 24,347,334 36,521,001 73,042,002

Collatz Trajectory (272 steps to reach 1)

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

73,042,002 36,521,001 109,563,004 54,781,502 27,390,751 82,172,254 41,086,127 123,258,382 61,629,191 184,887,574 92,443,787 277,331,362 138,665,681 415,997,044 207,998,522 103,999,261 311,997,784 155,998,892 77,999,446 38,999,723 116,999,170 58,499,585 175,498,756 87,749,378 43,874,689 131,624,068 65,812,034 32,906,017 98,718,052 49,359,026 24,679,513 74,038,540 37,019,270 18,509,635 55,528,906 27,764,453 83,293,360 41,646,680 20,823,340 10,411,670 5,205,835 15,617,506 7,808,753 23,426,260 11,713,130 5,856,565 17,569,696 8,784,848 4,392,424 2,196,212 1,098,106 549,053 1,647,160 823,580 411,790 205,895 617,686 308,843 926,530 463,265

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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