λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,930,480
3,930,480
24 × 32 × 5 × 53 × 103
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 53 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 120
Divisor Sum (σ) 13,579,488
Proper Divisor Sum 9,649,008
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3930467 ← → #3930481

Radix Representation

Decimal 3930480
Binary 1110111111100101110000 (22 bits)
Octal 0o16774560
Hexadecimal 0x3BF970

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 53 60 72 80 90 103 106 120 144 159 180 206 212 240 265 309 318 360 412 424 477 515 530 618 636 720 795 824 848 927 954 1,030 1,060 1,236 1,272 1,545 1,590 1,648 1,854 1,908

Collatz Trajectory (66 steps to reach 1)

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

3,930,480 1,965,240 982,620 491,310 245,655 736,966 368,483 1,105,450 552,725 1,658,176 829,088 414,544 207,272 103,636 51,818 25,909 77,728 38,864 19,432 9,716 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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