λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,321,045
3,321,045
32 × 5 × 7 × 13 × 811
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 13 × 811
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,093,632
Proper Divisor Sum 3,772,587
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3321037 ← → #3321049

Radix Representation

Decimal 3321045
Binary 1100101010110011010101 (22 bits)
Octal 0o14526325
Hexadecimal 0x32ACD5

Divisor Catalog (48)

1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 585 811 819 1,365 2,433 4,055 4,095 5,677 7,299 10,543 12,165 17,031 28,385 31,629 36,495 51,093 52,715 73,801 85,155 94,887 158,145 221,403 255,465 369,005 474,435 664,209 1,107,015 3,321,045

Collatz Trajectory (177 steps to reach 1)

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

3,321,045 9,963,136 4,981,568 2,490,784 1,245,392 622,696 311,348 155,674 77,837 233,512 116,756 58,378 29,189 87,568 43,784 21,892 10,946 5,473 16,420 8,210 4,105 12,316 6,158 3,079 9,238 4,619 13,858 6,929 20,788 10,394 5,197 15,592 7,796 3,898 1,949 5,848 2,924 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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