λ
Ratio Atlas
Atlas › Integer Profiles › Node 22,697,142
22,697,142
2 × 3 × 13 × 17 × 17117
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 13 × 17 × 17117
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 51,764,832
Proper Divisor Sum 29,067,690
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #22697141 ← → #22697167

Radix Representation

Decimal 22697142
Binary 1010110100101010010110110 (25 bits)
Octal 0o126452266
Hexadecimal 0x15A54B6

Divisor Catalog (32)

1 2 3 6 13 17 26 34 39 51 78 102 221 442 663 1,326 17,117 34,234 51,351 102,702 222,521 290,989 445,042 581,978 667,563 872,967 1,335,126 1,745,934 3,782,857 7,565,714 11,348,571 22,697,142

Collatz Trajectory (278 steps to reach 1)

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

22,697,142 11,348,571 34,045,714 17,022,857 51,068,572 25,534,286 12,767,143 38,301,430 19,150,715 57,452,146 28,726,073 86,178,220 43,089,110 21,544,555 64,633,666 32,316,833 96,950,500 48,475,250 24,237,625 72,712,876 36,356,438 18,178,219 54,534,658 27,267,329 81,801,988 40,900,994 20,450,497 61,351,492 30,675,746 15,337,873 46,013,620 23,006,810 11,503,405 34,510,216 17,255,108 8,627,554 4,313,777 12,941,332 6,470,666 3,235,333 9,706,000 4,853,000 2,426,500 1,213,250 606,625 1,819,876 909,938 454,969 1,364,908 682,454 341,227 1,023,682 511,841 1,535,524 767,762 383,881 1,151,644 575,822 287,911 863,734

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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