λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,963,375
3,963,375
32 × 53 × 13 × 271
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5^3 × 13 × 271
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,722,624
Proper Divisor Sum 3,759,249
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3963373 ← → #3963391

Radix Representation

Decimal 3963375
Binary 1111000111100111101111 (22 bits)
Octal 0o17074757
Hexadecimal 0x3C79EF

Divisor Catalog (48)

1 3 5 9 13 15 25 39 45 65 75 117 125 195 225 271 325 375 585 813 975 1,125 1,355 1,625 2,439 2,925 3,523 4,065 4,875 6,775 10,569 12,195 14,625 17,615 20,325 31,707 33,875 52,845 60,975 88,075 101,625 158,535 264,225 304,875 440,375 792,675 1,321,125 3,963,375

Collatz Trajectory (198 steps to reach 1)

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

3,963,375 11,890,126 5,945,063 17,835,190 8,917,595 26,752,786 13,376,393 40,129,180 20,064,590 10,032,295 30,096,886 15,048,443 45,145,330 22,572,665 67,717,996 33,858,998 16,929,499 50,788,498 25,394,249 76,182,748 38,091,374 19,045,687 57,137,062 28,568,531 85,705,594 42,852,797 128,558,392 64,279,196 32,139,598 16,069,799 48,209,398 24,104,699 72,314,098 36,157,049 108,471,148 54,235,574 27,117,787 81,353,362 40,676,681 122,030,044 61,015,022 30,507,511 91,522,534 45,761,267 137,283,802 68,641,901 205,925,704 102,962,852 51,481,426 25,740,713 77,222,140 38,611,070 19,305,535 57,916,606 28,958,303 86,874,910 43,437,455 130,312,366 65,156,183 195,468,550

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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