λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,772,222
5,772,222
2 × 36 × 37 × 107
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^6 × 37 × 107
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 13,457,016
Proper Divisor Sum 7,684,794
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5772209 ← → #5772227

Radix Representation

Decimal 5772222
Binary 10110000001001110111110 (23 bits)
Octal 0o26011676
Hexadecimal 0x5813BE

Divisor Catalog (56)

1 2 3 6 9 18 27 37 54 74 81 107 111 162 214 222 243 321 333 486 642 666 729 963 999 1,458 1,926 1,998 2,889 2,997 3,959 5,778 5,994 7,918 8,667 8,991 11,877 17,334 17,982 23,754 26,001 26,973 35,631 52,002 53,946 71,262 78,003 106,893 156,006 213,786 320,679 641,358 962,037 1,924,074 2,886,111 5,772,222

Collatz Trajectory (121 steps to reach 1)

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

5,772,222 2,886,111 8,658,334 4,329,167 12,987,502 6,493,751 19,481,254 9,740,627 29,221,882 14,610,941 43,832,824 21,916,412 10,958,206 5,479,103 16,437,310 8,218,655 24,655,966 12,327,983 36,983,950 18,491,975 55,475,926 27,737,963 83,213,890 41,606,945 124,820,836 62,410,418 31,205,209 93,615,628 46,807,814 23,403,907 70,211,722 35,105,861 105,317,584 52,658,792 26,329,396 13,164,698 6,582,349 19,747,048 9,873,524 4,936,762 2,468,381 7,405,144 3,702,572 1,851,286 925,643 2,776,930 1,388,465 4,165,396 2,082,698 1,041,349 3,124,048 1,562,024 781,012 390,506 195,253 585,760 292,880 146,440 73,220 36,610

Active Feeder Network

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

Feeder #8,365,252 Feeder #1,448,561 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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