λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,319,862
3,319,862
2 × 7 × 13 × 17 × 29 × 37
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 13 × 17 × 29 × 37
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 6,894,720
Proper Divisor Sum 3,574,858
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3319861 ← → #3319919

Radix Representation

Decimal 3319862
Binary 1100101010100000110110 (22 bits)
Octal 0o14524066
Hexadecimal 0x32A836

Divisor Catalog (60 of 64)

1 2 7 13 14 17 26 29 34 37 58 74 91 119 182 203 221 238 259 377 406 442 481 493 518 629 754 962 986 1,073 1,258 1,547 2,146 2,639 3,094 3,367 3,451 4,403 5,278 6,409 6,734 6,902 7,511 8,177 8,806 12,818 13,949 15,022 16,354 18,241 27,898 36,482 44,863 57,239 89,726 97,643 114,478 127,687 195,286 237,133

Collatz Trajectory (345 steps to reach 1)

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

3,319,862 1,659,931 4,979,794 2,489,897 7,469,692 3,734,846 1,867,423 5,602,270 2,801,135 8,403,406 4,201,703 12,605,110 6,302,555 18,907,666 9,453,833 28,361,500 14,180,750 7,090,375 21,271,126 10,635,563 31,906,690 15,953,345 47,860,036 23,930,018 11,965,009 35,895,028 17,947,514 8,973,757 26,921,272 13,460,636 6,730,318 3,365,159 10,095,478 5,047,739 15,143,218 7,571,609 22,714,828 11,357,414 5,678,707 17,036,122 8,518,061 25,554,184 12,777,092 6,388,546 3,194,273 9,582,820 4,791,410 2,395,705 7,187,116 3,593,558 1,796,779 5,390,338 2,695,169 8,085,508 4,042,754 2,021,377 6,064,132 3,032,066 1,516,033 4,548,100

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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