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Ratio Atlas
Atlas › Integer Profiles › Node 9,709,822
9,709,822
2 × 172 × 107 × 157
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 17^2 × 107 × 157
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,715,944
Proper Divisor Sum 6,006,122
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9709813 ← → #9709823

Radix Representation

Decimal 9709822
Binary 100101000010100011111110 (24 bits)
Octal 0o45024376
Hexadecimal 0x9428FE

Divisor Catalog (24)

1 2 17 34 107 157 214 289 314 578 1,819 2,669 3,638 5,338 16,799 30,923 33,598 45,373 61,846 90,746 285,583 571,166 4,854,911 9,709,822

Collatz Trajectory (238 steps to reach 1)

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

9,709,822 4,854,911 14,564,734 7,282,367 21,847,102 10,923,551 32,770,654 16,385,327 49,155,982 24,577,991 73,733,974 36,866,987 110,600,962 55,300,481 165,901,444 82,950,722 41,475,361 124,426,084 62,213,042 31,106,521 93,319,564 46,659,782 23,329,891 69,989,674 34,994,837 104,984,512 52,492,256 26,246,128 13,123,064 6,561,532 3,280,766 1,640,383 4,921,150 2,460,575 7,381,726 3,690,863 11,072,590 5,536,295 16,608,886 8,304,443 24,913,330 12,456,665 37,369,996 18,684,998 9,342,499 28,027,498 14,013,749 42,041,248 21,020,624 10,510,312 5,255,156 2,627,578 1,313,789 3,941,368 1,970,684 985,342 492,671 1,478,014 739,007 2,217,022

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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