λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,930,780
36,930,780
22 × 32 × 5 × 205171
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 205171
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 112,023,912
Proper Divisor Sum 75,093,132
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #36930779 ← → #36930781

Radix Representation

Decimal 36930780
Binary 10001100111000010011011100 (26 bits)
Octal 0o214702334
Hexadecimal 0x23384DC

Divisor Catalog (36)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 205,171 410,342 615,513 820,684 1,025,855 1,231,026 1,846,539 2,051,710 2,462,052 3,077,565 3,693,078 4,103,420 6,155,130 7,386,156 9,232,695 12,310,260 18,465,390 36,930,780

Collatz Trajectory (214 steps to reach 1)

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

36,930,780 18,465,390 9,232,695 27,698,086 13,849,043 41,547,130 20,773,565 62,320,696 31,160,348 15,580,174 7,790,087 23,370,262 11,685,131 35,055,394 17,527,697 52,583,092 26,291,546 13,145,773 39,437,320 19,718,660 9,859,330 4,929,665 14,788,996 7,394,498 3,697,249 11,091,748 5,545,874 2,772,937 8,318,812 4,159,406 2,079,703 6,239,110 3,119,555 9,358,666 4,679,333 14,038,000 7,019,000 3,509,500 1,754,750 877,375 2,632,126 1,316,063 3,948,190 1,974,095 5,922,286 2,961,143 8,883,430 4,441,715 13,325,146 6,662,573 19,987,720 9,993,860 4,996,930 2,498,465 7,495,396 3,747,698 1,873,849 5,621,548 2,810,774 1,405,387

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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