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Ratio Atlas
Atlas › Integer Profiles › Node 4,459,851
4,459,851
32 × 11 × 19 × 2371
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 11 × 19 × 2371
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,400,640
Proper Divisor Sum 2,940,789
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4459849 ← → #4459891

Radix Representation

Decimal 4459851
Binary 10001000000110101001011 (23 bits)
Octal 0o21006513
Hexadecimal 0x440D4B

Divisor Catalog (24)

1 3 9 11 19 33 57 99 171 209 627 1,881 2,371 7,113 21,339 26,081 45,049 78,243 135,147 234,729 405,441 495,539 1,486,617 4,459,851

Collatz Trajectory (211 steps to reach 1)

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

4,459,851 13,379,554 6,689,777 20,069,332 10,034,666 5,017,333 15,052,000 7,526,000 3,763,000 1,881,500 940,750 470,375 1,411,126 705,563 2,116,690 1,058,345 3,175,036 1,587,518 793,759 2,381,278 1,190,639 3,571,918 1,785,959 5,357,878 2,678,939 8,036,818 4,018,409 12,055,228 6,027,614 3,013,807 9,041,422 4,520,711 13,562,134 6,781,067 20,343,202 10,171,601 30,514,804 15,257,402 7,628,701 22,886,104 11,443,052 5,721,526 2,860,763 8,582,290 4,291,145 12,873,436 6,436,718 3,218,359 9,655,078 4,827,539 14,482,618 7,241,309 21,723,928 10,861,964 5,430,982 2,715,491 8,146,474 4,073,237 12,219,712 6,109,856

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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