λ
Ratio Atlas
Atlas › Integer Profiles › Node 26,966,966
26,966,966
2 × 13 × 19 × 79 × 691
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 13 × 19 × 79 × 691
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 46,502,400
Proper Divisor Sum 19,535,434
Digit Sum / Digital Root 50 (Root: 5)
Adjacent Primes #26966963 ← → #26966999

Radix Representation

Decimal 26966966
Binary 1100110110111101110110110 (25 bits)
Octal 0o146675666
Hexadecimal 0x19B7BB6

Divisor Catalog (32)

1 2 13 19 26 38 79 158 247 494 691 1,027 1,382 1,501 2,054 3,002 8,983 13,129 17,966 19,513 26,258 39,026 54,589 109,178 170,677 341,354 709,657 1,037,191 1,419,314 2,074,382 13,483,483 26,966,966

Collatz Trajectory (224 steps to reach 1)

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

26,966,966 13,483,483 40,450,450 20,225,225 60,675,676 30,337,838 15,168,919 45,506,758 22,753,379 68,260,138 34,130,069 102,390,208 51,195,104 25,597,552 12,798,776 6,399,388 3,199,694 1,599,847 4,799,542 2,399,771 7,199,314 3,599,657 10,798,972 5,399,486 2,699,743 8,099,230 4,049,615 12,148,846 6,074,423 18,223,270 9,111,635 27,334,906 13,667,453 41,002,360 20,501,180 10,250,590 5,125,295 15,375,886 7,687,943 23,063,830 11,531,915 34,595,746 17,297,873 51,893,620 25,946,810 12,973,405 38,920,216 19,460,108 9,730,054 4,865,027 14,595,082 7,297,541 21,892,624 10,946,312 5,473,156 2,736,578 1,368,289 4,104,868 2,052,434 1,026,217

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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