λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,348,009
3,348,009
32 × 7 × 19 × 2797
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7 × 19 × 2797
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,819,840
Proper Divisor Sum 2,471,831
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3348001 ← → #3348011

Radix Representation

Decimal 3348009
Binary 1100110001011000101001 (22 bits)
Octal 0o14613051
Hexadecimal 0x331629

Divisor Catalog (24)

1 3 7 9 19 21 57 63 133 171 399 1,197 2,797 8,391 19,579 25,173 53,143 58,737 159,429 176,211 372,001 478,287 1,116,003 3,348,009

Collatz Trajectory (159 steps to reach 1)

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

3,348,009 10,044,028 5,022,014 2,511,007 7,533,022 3,766,511 11,299,534 5,649,767 16,949,302 8,474,651 25,423,954 12,711,977 38,135,932 19,067,966 9,533,983 28,601,950 14,300,975 42,902,926 21,451,463 64,354,390 32,177,195 96,531,586 48,265,793 144,797,380 72,398,690 36,199,345 108,598,036 54,299,018 27,149,509 81,448,528 40,724,264 20,362,132 10,181,066 5,090,533 15,271,600 7,635,800 3,817,900 1,908,950 954,475 2,863,426 1,431,713 4,295,140 2,147,570 1,073,785 3,221,356 1,610,678 805,339 2,416,018 1,208,009 3,624,028 1,812,014 906,007 2,718,022 1,359,011 4,077,034 2,038,517 6,115,552 3,057,776 1,528,888 764,444

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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