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Ratio Atlas
Atlas › Integer Profiles › Node 6,135,327
6,135,327
32 × 11 × 29 × 2137
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 11 × 29 × 2137
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,005,840
Proper Divisor Sum 3,870,513
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6135299 ← → #6135329

Radix Representation

Decimal 6135327
Binary 10111011001111000011111 (23 bits)
Octal 0o27317037
Hexadecimal 0x5D9E1F

Divisor Catalog (24)

1 3 9 11 29 33 87 99 261 319 957 2,137 2,871 6,411 19,233 23,507 61,973 70,521 185,919 211,563 557,757 681,703 2,045,109 6,135,327

Collatz Trajectory (196 steps to reach 1)

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

6,135,327 18,405,982 9,202,991 27,608,974 13,804,487 41,413,462 20,706,731 62,120,194 31,060,097 93,180,292 46,590,146 23,295,073 69,885,220 34,942,610 17,471,305 52,413,916 26,206,958 13,103,479 39,310,438 19,655,219 58,965,658 29,482,829 88,448,488 44,224,244 22,112,122 11,056,061 33,168,184 16,584,092 8,292,046 4,146,023 12,438,070 6,219,035 18,657,106 9,328,553 27,985,660 13,992,830 6,996,415 20,989,246 10,494,623 31,483,870 15,741,935 47,225,806 23,612,903 70,838,710 35,419,355 106,258,066 53,129,033 159,387,100 79,693,550 39,846,775 119,540,326 59,770,163 179,310,490 89,655,245 268,965,736 134,482,868 67,241,434 33,620,717 100,862,152 50,431,076

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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