λ
Ratio Atlas
Atlas › Integer Profiles › Node 13,190,895
13,190,895
32 × 5 × 17 × 43 × 401
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 17 × 43 × 401
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 24,833,952
Proper Divisor Sum 11,643,057
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #13190873 ← → #13190897

Radix Representation

Decimal 13190895
Binary 110010010100011011101111 (24 bits)
Octal 0o62243357
Hexadecimal 0xC946EF

Divisor Catalog (48)

1 3 5 9 15 17 43 45 51 85 129 153 215 255 387 401 645 731 765 1,203 1,935 2,005 2,193 3,609 3,655 6,015 6,579 6,817 10,965 17,243 18,045 20,451 32,895 34,085 51,729 61,353 86,215 102,255 155,187 258,645 293,131 306,765 775,935 879,393 1,465,655 2,638,179 4,396,965 13,190,895

Collatz Trajectory (210 steps to reach 1)

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

13,190,895 39,572,686 19,786,343 59,359,030 29,679,515 89,038,546 44,519,273 133,557,820 66,778,910 33,389,455 100,168,366 50,084,183 150,252,550 75,126,275 225,378,826 112,689,413 338,068,240 169,034,120 84,517,060 42,258,530 21,129,265 63,387,796 31,693,898 15,846,949 47,540,848 23,770,424 11,885,212 5,942,606 2,971,303 8,913,910 4,456,955 13,370,866 6,685,433 20,056,300 10,028,150 5,014,075 15,042,226 7,521,113 22,563,340 11,281,670 5,640,835 16,922,506 8,461,253 25,383,760 12,691,880 6,345,940 3,172,970 1,586,485 4,759,456 2,379,728 1,189,864 594,932 297,466 148,733 446,200 223,100 111,550 55,775 167,326 83,663

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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