λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,672,018
3,672,018
2 × 32 × 7 × 151 × 193
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 151 × 193
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,200,256
Proper Divisor Sum 5,528,238
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3672013 ← → #3672023

Radix Representation

Decimal 3672018
Binary 1110000000011111010010 (22 bits)
Octal 0o16003722
Hexadecimal 0x3807D2

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 42 63 126 151 193 302 386 453 579 906 1,057 1,158 1,351 1,359 1,737 2,114 2,702 2,718 3,171 3,474 4,053 6,342 8,106 9,513 12,159 19,026 24,318 29,143 58,286 87,429 174,858 204,001 262,287 408,002 524,574 612,003 1,224,006 1,836,009 3,672,018

Collatz Trajectory (177 steps to reach 1)

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

3,672,018 1,836,009 5,508,028 2,754,014 1,377,007 4,131,022 2,065,511 6,196,534 3,098,267 9,294,802 4,647,401 13,942,204 6,971,102 3,485,551 10,456,654 5,228,327 15,684,982 7,842,491 23,527,474 11,763,737 35,291,212 17,645,606 8,822,803 26,468,410 13,234,205 39,702,616 19,851,308 9,925,654 4,962,827 14,888,482 7,444,241 22,332,724 11,166,362 5,583,181 16,749,544 8,374,772 4,187,386 2,093,693 6,281,080 3,140,540 1,570,270 785,135 2,355,406 1,177,703 3,533,110 1,766,555 5,299,666 2,649,833 7,949,500 3,974,750 1,987,375 5,962,126 2,981,063 8,943,190 4,471,595 13,414,786 6,707,393 20,122,180 10,061,090 5,030,545

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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