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Ratio Atlas
Atlas › Integer Profiles › Node 10,195,065
10,195,065
36 × 5 × 2797
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^6 × 5 × 2797
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 18,349,284
Proper Divisor Sum 8,154,219
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #10195061 ← → #10195093

Radix Representation

Decimal 10195065
Binary 100110111001000001111001 (24 bits)
Octal 0o46710171
Hexadecimal 0x9B9079

Divisor Catalog (28)

1 3 5 9 15 27 45 81 135 243 405 729 1,215 2,797 3,645 8,391 13,985 25,173 41,955 75,519 125,865 226,557 377,595 679,671 1,132,785 2,039,013 3,398,355 10,195,065

Collatz Trajectory (207 steps to reach 1)

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

10,195,065 30,585,196 15,292,598 7,646,299 22,938,898 11,469,449 34,408,348 17,204,174 8,602,087 25,806,262 12,903,131 38,709,394 19,354,697 58,064,092 29,032,046 14,516,023 43,548,070 21,774,035 65,322,106 32,661,053 97,983,160 48,991,580 24,495,790 12,247,895 36,743,686 18,371,843 55,115,530 27,557,765 82,673,296 41,336,648 20,668,324 10,334,162 5,167,081 15,501,244 7,750,622 3,875,311 11,625,934 5,812,967 17,438,902 8,719,451 26,158,354 13,079,177 39,237,532 19,618,766 9,809,383 29,428,150 14,714,075 44,142,226 22,071,113 66,213,340 33,106,670 16,553,335 49,660,006 24,830,003 74,490,010 37,245,005 111,735,016 55,867,508 27,933,754 13,966,877

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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