λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,262,015
2,262,015
32 × 5 × 7 × 43 × 167
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 43 × 167
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,612,608
Proper Divisor Sum 2,350,593
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2261993 ← → #2262017

Radix Representation

Decimal 2262015
Binary 1000101000001111111111 (22 bits)
Octal 0o10501777
Hexadecimal 0x2283FF

Divisor Catalog (48)

1 3 5 7 9 15 21 35 43 45 63 105 129 167 215 301 315 387 501 645 835 903 1,169 1,503 1,505 1,935 2,505 2,709 3,507 4,515 5,845 7,181 7,515 10,521 13,545 17,535 21,543 35,905 50,267 52,605 64,629 107,715 150,801 251,335 323,145 452,403 754,005 2,262,015

Collatz Trajectory (267 steps to reach 1)

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

2,262,015 6,786,046 3,393,023 10,179,070 5,089,535 15,268,606 7,634,303 22,902,910 11,451,455 34,354,366 17,177,183 51,531,550 25,765,775 77,297,326 38,648,663 115,945,990 57,972,995 173,918,986 86,959,493 260,878,480 130,439,240 65,219,620 32,609,810 16,304,905 48,914,716 24,457,358 12,228,679 36,686,038 18,343,019 55,029,058 27,514,529 82,543,588 41,271,794 20,635,897 61,907,692 30,953,846 15,476,923 46,430,770 23,215,385 69,646,156 34,823,078 17,411,539 52,234,618 26,117,309 78,351,928 39,175,964 19,587,982 9,793,991 29,381,974 14,690,987 44,072,962 22,036,481 66,109,444 33,054,722 16,527,361 49,582,084 24,791,042 12,395,521 37,186,564 18,593,282

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #1,448,561 Feeder #6,970,568 Feeder #2,947,453 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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