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Ratio Atlas
Atlas › Integer Profiles › Node 8,552,205
8,552,205
32 × 5 × 23 × 8263
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 23 × 8263
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,470,208
Proper Divisor Sum 6,918,003
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8552191 ← → #8552213

Radix Representation

Decimal 8552205
Binary 100000100111111100001101 (24 bits)
Octal 0o40477415
Hexadecimal 0x827F0D

Divisor Catalog (24)

1 3 5 9 15 23 45 69 115 207 345 1,035 8,263 24,789 41,315 74,367 123,945 190,049 371,835 570,147 950,245 1,710,441 2,850,735 8,552,205

Collatz Trajectory (411 steps to reach 1)

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

8,552,205 25,656,616 12,828,308 6,414,154 3,207,077 9,621,232 4,810,616 2,405,308 1,202,654 601,327 1,803,982 901,991 2,705,974 1,352,987 4,058,962 2,029,481 6,088,444 3,044,222 1,522,111 4,566,334 2,283,167 6,849,502 3,424,751 10,274,254 5,137,127 15,411,382 7,705,691 23,117,074 11,558,537 34,675,612 17,337,806 8,668,903 26,006,710 13,003,355 39,010,066 19,505,033 58,515,100 29,257,550 14,628,775 43,886,326 21,943,163 65,829,490 32,914,745 98,744,236 49,372,118 24,686,059 74,058,178 37,029,089 111,087,268 55,543,634 27,771,817 83,315,452 41,657,726 20,828,863 62,486,590 31,243,295 93,729,886 46,864,943 140,594,830 70,297,415

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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