λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,269,727
2,269,727
31 × 211 × 347
Deficient Odd Composite

Prime Factor Structure

Factorization String 31 × 211 × 347
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,360,832
Proper Divisor Sum 91,105
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2269711 ← → #2269733

Radix Representation

Decimal 2269727
Binary 1000101010001000011111 (22 bits)
Octal 0o10521037
Hexadecimal 0x22A21F

Divisor Catalog (8)

1 31 211 347 6,541 10,757 73,217 2,269,727

Collatz Trajectory (179 steps to reach 1)

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

2,269,727 6,809,182 3,404,591 10,213,774 5,106,887 15,320,662 7,660,331 22,980,994 11,490,497 34,471,492 17,235,746 8,617,873 25,853,620 12,926,810 6,463,405 19,390,216 9,695,108 4,847,554 2,423,777 7,271,332 3,635,666 1,817,833 5,453,500 2,726,750 1,363,375 4,090,126 2,045,063 6,135,190 3,067,595 9,202,786 4,601,393 13,804,180 6,902,090 3,451,045 10,353,136 5,176,568 2,588,284 1,294,142 647,071 1,941,214 970,607 2,911,822 1,455,911 4,367,734 2,183,867 6,551,602 3,275,801 9,827,404 4,913,702 2,456,851 7,370,554 3,685,277 11,055,832 5,527,916 2,763,958 1,381,979 4,145,938 2,072,969 6,218,908 3,109,454

Active Feeder Network

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

Feeder #1,448,561 Feeder #6,970,568 Feeder #2,947,453 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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