λ
Ratio Atlas
Atlas › Integer Profiles › Node 52,821,153
52,821,153
36 × 7 × 11 × 941
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^6 × 7 × 11 × 941
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 98,842,176
Proper Divisor Sum 46,021,023
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #52821149 ← → #52821169

Radix Representation

Decimal 52821153
Binary 11001001011111110010100001 (26 bits)
Octal 0o311376241
Hexadecimal 0x325FCA1

Divisor Catalog (56)

1 3 7 9 11 21 27 33 63 77 81 99 189 231 243 297 567 693 729 891 941 1,701 2,079 2,673 2,823 5,103 6,237 6,587 8,019 8,469 10,351 18,711 19,761 25,407 31,053 56,133 59,283 72,457 76,221 93,159 177,849 217,371 228,663 279,477 533,547 652,113 685,989 838,431 1,600,641 1,956,339 2,515,293 4,801,923 5,869,017 7,545,879 17,607,051 52,821,153

Collatz Trajectory (194 steps to reach 1)

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

52,821,153 158,463,460 79,231,730 39,615,865 118,847,596 59,423,798 29,711,899 89,135,698 44,567,849 133,703,548 66,851,774 33,425,887 100,277,662 50,138,831 150,416,494 75,208,247 225,624,742 112,812,371 338,437,114 169,218,557 507,655,672 253,827,836 126,913,918 63,456,959 190,370,878 95,185,439 285,556,318 142,778,159 428,334,478 214,167,239 642,501,718 321,250,859 963,752,578 481,876,289 1,445,628,868 722,814,434 361,407,217 1,084,221,652 542,110,826 271,055,413 813,166,240 406,583,120 203,291,560 101,645,780 50,822,890 25,411,445 76,234,336 38,117,168 19,058,584 9,529,292 4,764,646 2,382,323 7,146,970 3,573,485 10,720,456 5,360,228 2,680,114 1,340,057 4,020,172 2,010,086

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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