λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,735,201
36,735,201
34 × 43 × 53 × 199
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 43 × 53 × 199
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 57,499,200
Proper Divisor Sum 20,763,999
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #36735173 ← → #36735203

Radix Representation

Decimal 36735201
Binary 10001100001000100011100001 (26 bits)
Octal 0o214104341
Hexadecimal 0x23088E1

Divisor Catalog (40)

1 3 9 27 43 53 81 129 159 199 387 477 597 1,161 1,431 1,791 2,279 3,483 4,293 5,373 6,837 8,557 10,547 16,119 20,511 25,671 31,641 61,533 77,013 94,923 184,599 231,039 284,769 453,521 693,117 854,307 1,360,563 4,081,689 12,245,067 36,735,201

Collatz Trajectory (196 steps to reach 1)

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

36,735,201 110,205,604 55,102,802 27,551,401 82,654,204 41,327,102 20,663,551 61,990,654 30,995,327 92,985,982 46,492,991 139,478,974 69,739,487 209,218,462 104,609,231 313,827,694 156,913,847 470,741,542 235,370,771 706,112,314 353,056,157 1,059,168,472 529,584,236 264,792,118 132,396,059 397,188,178 198,594,089 595,782,268 297,891,134 148,945,567 446,836,702 223,418,351 670,255,054 335,127,527 1,005,382,582 502,691,291 1,508,073,874 754,036,937 2,262,110,812 1,131,055,406 565,527,703 1,696,583,110 848,291,555 2,544,874,666 1,272,437,333 3,817,312,000 1,908,656,000 954,328,000 477,164,000 238,582,000 119,291,000 59,645,500 29,822,750 14,911,375 44,734,126 22,367,063 67,101,190 33,550,595 100,651,786 50,325,893

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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