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Ratio Atlas
Atlas › Integer Profiles › Node 754,875
754,875
32 × 53 × 11 × 61
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5^3 × 11 × 61
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,508,832
Proper Divisor Sum 753,957
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #754861 ← → #754877

Radix Representation

Decimal 754875
Binary 10111000010010111011 (20 bits)
Octal 0o2702273
Hexadecimal 0xB84BB

Divisor Catalog (48)

1 3 5 9 11 15 25 33 45 55 61 75 99 125 165 183 225 275 305 375 495 549 671 825 915 1,125 1,375 1,525 2,013 2,475 2,745 3,355 4,125 4,575 6,039 7,625 10,065 12,375 13,725 16,775 22,875 30,195 50,325 68,625 83,875 150,975 251,625 754,875

Collatz Trajectory (317 steps to reach 1)

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

754,875 2,264,626 1,132,313 3,396,940 1,698,470 849,235 2,547,706 1,273,853 3,821,560 1,910,780 955,390 477,695 1,433,086 716,543 2,149,630 1,074,815 3,224,446 1,612,223 4,836,670 2,418,335 7,255,006 3,627,503 10,882,510 5,441,255 16,323,766 8,161,883 24,485,650 12,242,825 36,728,476 18,364,238 9,182,119 27,546,358 13,773,179 41,319,538 20,659,769 61,979,308 30,989,654 15,494,827 46,484,482 23,242,241 69,726,724 34,863,362 17,431,681 52,295,044 26,147,522 13,073,761 39,221,284 19,610,642 9,805,321 29,415,964 14,707,982 7,353,991 22,061,974 11,030,987 33,092,962 16,546,481 49,639,444 24,819,722 12,409,861 37,229,584

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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