λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,259,222
5,259,222
2 × 33 × 172 × 337
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 17^2 × 337
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,451,920
Proper Divisor Sum 7,192,698
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5259209 ← → #5259223

Radix Representation

Decimal 5259222
Binary 10100000011111111010110 (23 bits)
Octal 0o24037726
Hexadecimal 0x503FD6

Divisor Catalog (48)

1 2 3 6 9 17 18 27 34 51 54 102 153 289 306 337 459 578 674 867 918 1,011 1,734 2,022 2,601 3,033 5,202 5,729 6,066 7,803 9,099 11,458 15,606 17,187 18,198 34,374 51,561 97,393 103,122 154,683 194,786 292,179 309,366 584,358 876,537 1,753,074 2,629,611 5,259,222

Collatz Trajectory (263 steps to reach 1)

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

5,259,222 2,629,611 7,888,834 3,944,417 11,833,252 5,916,626 2,958,313 8,874,940 4,437,470 2,218,735 6,656,206 3,328,103 9,984,310 4,992,155 14,976,466 7,488,233 22,464,700 11,232,350 5,616,175 16,848,526 8,424,263 25,272,790 12,636,395 37,909,186 18,954,593 56,863,780 28,431,890 14,215,945 42,647,836 21,323,918 10,661,959 31,985,878 15,992,939 47,978,818 23,989,409 71,968,228 35,984,114 17,992,057 53,976,172 26,988,086 13,494,043 40,482,130 20,241,065 60,723,196 30,361,598 15,180,799 45,542,398 22,771,199 68,313,598 34,156,799 102,470,398 51,235,199 153,705,598 76,852,799 230,558,398 115,279,199 345,837,598 172,918,799 518,756,398 259,378,199

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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