λ
Ratio Atlas
Atlas › Integer Profiles › Node 22,201,641
22,201,641
33 × 7 × 11 × 59 × 181
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 7 × 11 × 59 × 181
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 41,932,800
Proper Divisor Sum 19,731,159
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #22201579 ← → #22201661

Radix Representation

Decimal 22201641
Binary 1010100101100010100101001 (25 bits)
Octal 0o124542451
Hexadecimal 0x152C529

Divisor Catalog (60 of 64)

1 3 7 9 11 21 27 33 59 63 77 99 177 181 189 231 297 413 531 543 649 693 1,239 1,267 1,593 1,629 1,947 1,991 2,079 3,717 3,801 4,543 4,887 5,841 5,973 10,679 11,151 11,403 13,629 13,937 17,523 17,919 32,037 34,209 40,887 41,811 53,757 74,753 96,111 117,469 122,661 125,433 224,259 288,333 352,407 376,299 672,777 822,283 1,057,221 2,018,331

Collatz Trajectory (141 steps to reach 1)

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

22,201,641 66,604,924 33,302,462 16,651,231 49,953,694 24,976,847 74,930,542 37,465,271 112,395,814 56,197,907 168,593,722 84,296,861 252,890,584 126,445,292 63,222,646 31,611,323 94,833,970 47,416,985 142,250,956 71,125,478 35,562,739 106,688,218 53,344,109 160,032,328 80,016,164 40,008,082 20,004,041 60,012,124 30,006,062 15,003,031 45,009,094 22,504,547 67,513,642 33,756,821 101,270,464 50,635,232 25,317,616 12,658,808 6,329,404 3,164,702 1,582,351 4,747,054 2,373,527 7,120,582 3,560,291 10,680,874 5,340,437 16,021,312 8,010,656 4,005,328 2,002,664 1,001,332 500,666 250,333 751,000 375,500 187,750 93,875 281,626 140,813

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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