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Ratio Atlas
Atlas › Integer Profiles › Node 2,004,015
2,004,015
3 × 5 × 13 × 43 × 239
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 13 × 43 × 239
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,548,160
Proper Divisor Sum 1,544,145
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #2004007 ← → #2004017

Radix Representation

Decimal 2004015
Binary 111101001010000101111 (21 bits)
Octal 0o7512057
Hexadecimal 0x1E942F

Divisor Catalog (32)

1 3 5 13 15 39 43 65 129 195 215 239 559 645 717 1,195 1,677 2,795 3,107 3,585 8,385 9,321 10,277 15,535 30,831 46,605 51,385 133,601 154,155 400,803 668,005 2,004,015

Collatz Trajectory (303 steps to reach 1)

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

2,004,015 6,012,046 3,006,023 9,018,070 4,509,035 13,527,106 6,763,553 20,290,660 10,145,330 5,072,665 15,217,996 7,608,998 3,804,499 11,413,498 5,706,749 17,120,248 8,560,124 4,280,062 2,140,031 6,420,094 3,210,047 9,630,142 4,815,071 14,445,214 7,222,607 21,667,822 10,833,911 32,501,734 16,250,867 48,752,602 24,376,301 73,128,904 36,564,452 18,282,226 9,141,113 27,423,340 13,711,670 6,855,835 20,567,506 10,283,753 30,851,260 15,425,630 7,712,815 23,138,446 11,569,223 34,707,670 17,353,835 52,061,506 26,030,753 78,092,260 39,046,130 19,523,065 58,569,196 29,284,598 14,642,299 43,926,898 21,963,449 65,890,348 32,945,174 16,472,587

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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