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Ratio Atlas
Atlas › Integer Profiles › Node 3,302,013
3,302,013
3 × 11 × 13 × 43 × 179
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 11 × 13 × 43 × 179
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,322,240
Proper Divisor Sum 2,020,227
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #3302011 ← → #3302069

Radix Representation

Decimal 3302013
Binary 1100100110001001111101 (22 bits)
Octal 0o14461175
Hexadecimal 0x32627D

Divisor Catalog (32)

1 3 11 13 33 39 43 129 143 179 429 473 537 559 1,419 1,677 1,969 2,327 5,907 6,149 6,981 7,697 18,447 23,091 25,597 76,791 84,667 100,061 254,001 300,183 1,100,671 3,302,013

Collatz Trajectory (164 steps to reach 1)

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

3,302,013 9,906,040 4,953,020 2,476,510 1,238,255 3,714,766 1,857,383 5,572,150 2,786,075 8,358,226 4,179,113 12,537,340 6,268,670 3,134,335 9,403,006 4,701,503 14,104,510 7,052,255 21,156,766 10,578,383 31,735,150 15,867,575 47,602,726 23,801,363 71,404,090 35,702,045 107,106,136 53,553,068 26,776,534 13,388,267 40,164,802 20,082,401 60,247,204 30,123,602 15,061,801 45,185,404 22,592,702 11,296,351 33,889,054 16,944,527 50,833,582 25,416,791 76,250,374 38,125,187 114,375,562 57,187,781 171,563,344 85,781,672 42,890,836 21,445,418 10,722,709 32,168,128 16,084,064 8,042,032 4,021,016 2,010,508 1,005,254 502,627 1,507,882 753,941

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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