λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,972,045
3,972,045
3 × 5 × 7 × 11 × 19 × 181
Abundant Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 11 × 19 × 181
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 8,386,560
Proper Divisor Sum 4,414,515
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3972037 ← → #3972071

Radix Representation

Decimal 3972045
Binary 1111001001101111001101 (22 bits)
Octal 0o17115715
Hexadecimal 0x3C9BCD

Divisor Catalog (60 of 64)

1 3 5 7 11 15 19 21 33 35 55 57 77 95 105 133 165 181 209 231 285 385 399 543 627 665 905 1,045 1,155 1,267 1,463 1,991 1,995 2,715 3,135 3,439 3,801 4,389 5,973 6,335 7,315 9,955 10,317 13,937 17,195 19,005 21,945 24,073 29,865 37,829 41,811 51,585 69,685 72,219 113,487 120,365 189,145 209,055 264,803 361,095

Collatz Trajectory (123 steps to reach 1)

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

3,972,045 11,916,136 5,958,068 2,979,034 1,489,517 4,468,552 2,234,276 1,117,138 558,569 1,675,708 837,854 418,927 1,256,782 628,391 1,885,174 942,587 2,827,762 1,413,881 4,241,644 2,120,822 1,060,411 3,181,234 1,590,617 4,771,852 2,385,926 1,192,963 3,578,890 1,789,445 5,368,336 2,684,168 1,342,084 671,042 335,521 1,006,564 503,282 251,641 754,924 377,462 188,731 566,194 283,097 849,292 424,646 212,323 636,970 318,485 955,456 477,728 238,864 119,432 59,716 29,858 14,929 44,788 22,394 11,197 33,592 16,796 8,398 4,199

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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