λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,300,330
3,300,330
2 × 3 × 5 × 11 × 73 × 137
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 11 × 73 × 137
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 8,823,168
Proper Divisor Sum 5,522,838
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #3300313 ← → #3300331

Radix Representation

Decimal 3300330
Binary 1100100101101111101010 (22 bits)
Octal 0o14455752
Hexadecimal 0x325BEA

Divisor Catalog (60 of 64)

1 2 3 5 6 10 11 15 22 30 33 55 66 73 110 137 146 165 219 274 330 365 411 438 685 730 803 822 1,095 1,370 1,507 1,606 2,055 2,190 2,409 3,014 4,015 4,110 4,521 4,818 7,535 8,030 9,042 10,001 12,045 15,070 20,002 22,605 24,090 30,003 45,210 50,005 60,006 100,010 110,011 150,015 220,022 300,030 330,033 550,055

Collatz Trajectory (84 steps to reach 1)

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

3,300,330 1,650,165 4,950,496 2,475,248 1,237,624 618,812 309,406 154,703 464,110 232,055 696,166 348,083 1,044,250 522,125 1,566,376 783,188 391,594 195,797 587,392 293,696 146,848 73,424 36,712 18,356 9,178 4,589 13,768 6,884 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98

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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