λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,009,007
2,009,007
32 × 7 × 11 × 13 × 223
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7 × 11 × 13 × 223
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,913,728
Proper Divisor Sum 1,904,721
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2008973 ← → #2009011

Radix Representation

Decimal 2009007
Binary 111101010011110101111 (21 bits)
Octal 0o7523657
Hexadecimal 0x1EA7AF

Divisor Catalog (48)

1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 223 231 273 429 669 693 819 1,001 1,287 1,561 2,007 2,453 2,899 3,003 4,683 7,359 8,697 9,009 14,049 17,171 20,293 22,077 26,091 31,889 51,513 60,879 95,667 154,539 182,637 223,223 287,001 669,669 2,009,007

Collatz Trajectory (153 steps to reach 1)

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

2,009,007 6,027,022 3,013,511 9,040,534 4,520,267 13,560,802 6,780,401 20,341,204 10,170,602 5,085,301 15,255,904 7,627,952 3,813,976 1,906,988 953,494 476,747 1,430,242 715,121 2,145,364 1,072,682 536,341 1,609,024 804,512 402,256 201,128 100,564 50,282 25,141 75,424 37,712 18,856 9,428 4,714 2,357 7,072 3,536 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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