λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,753,340
9,753,340
22 × 5 × 79 × 6173
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 79 × 6173
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 20,744,640
Proper Divisor Sum 10,991,300
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9753329 ← → #9753353

Radix Representation

Decimal 9753340
Binary 100101001101001011111100 (24 bits)
Octal 0o45151374
Hexadecimal 0x94D2FC

Divisor Catalog (24)

1 2 4 5 10 20 79 158 316 395 790 1,580 6,173 12,346 24,692 30,865 61,730 123,460 487,667 975,334 1,950,668 2,438,335 4,876,670 9,753,340

Collatz Trajectory (238 steps to reach 1)

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

9,753,340 4,876,670 2,438,335 7,315,006 3,657,503 10,972,510 5,486,255 16,458,766 8,229,383 24,688,150 12,344,075 37,032,226 18,516,113 55,548,340 27,774,170 13,887,085 41,661,256 20,830,628 10,415,314 5,207,657 15,622,972 7,811,486 3,905,743 11,717,230 5,858,615 17,575,846 8,787,923 26,363,770 13,181,885 39,545,656 19,772,828 9,886,414 4,943,207 14,829,622 7,414,811 22,244,434 11,122,217 33,366,652 16,683,326 8,341,663 25,024,990 12,512,495 37,537,486 18,768,743 56,306,230 28,153,115 84,459,346 42,229,673 126,689,020 63,344,510 31,672,255 95,016,766 47,508,383 142,525,150 71,262,575 213,787,726 106,893,863 320,681,590 160,340,795 481,022,386

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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