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Ratio Atlas
Atlas › Integer Profiles › Node 3,966,729
3,966,729
3 × 13 × 17 × 31 × 193
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 13 × 17 × 31 × 193
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,257,664
Proper Divisor Sum 2,290,935
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #3966727 ← → #3966761

Radix Representation

Decimal 3966729
Binary 1111001000011100001001 (22 bits)
Octal 0o17103411
Hexadecimal 0x3C8709

Divisor Catalog (32)

1 3 13 17 31 39 51 93 193 221 403 527 579 663 1,209 1,581 2,509 3,281 5,983 6,851 7,527 9,843 17,949 20,553 42,653 77,779 101,711 127,959 233,337 305,133 1,322,243 3,966,729

Collatz Trajectory (260 steps to reach 1)

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

3,966,729 11,900,188 5,950,094 2,975,047 8,925,142 4,462,571 13,387,714 6,693,857 20,081,572 10,040,786 5,020,393 15,061,180 7,530,590 3,765,295 11,295,886 5,647,943 16,943,830 8,471,915 25,415,746 12,707,873 38,123,620 19,061,810 9,530,905 28,592,716 14,296,358 7,148,179 21,444,538 10,722,269 32,166,808 16,083,404 8,041,702 4,020,851 12,062,554 6,031,277 18,093,832 9,046,916 4,523,458 2,261,729 6,785,188 3,392,594 1,696,297 5,088,892 2,544,446 1,272,223 3,816,670 1,908,335 5,725,006 2,862,503 8,587,510 4,293,755 12,881,266 6,440,633 19,321,900 9,660,950 4,830,475 14,491,426 7,245,713 21,737,140 10,868,570 5,434,285

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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