λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,200,328
3,200,328
23 × 32 × 44449
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 44449
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,667,750
Proper Divisor Sum 5,467,422
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3200317 ← → #3200333

Radix Representation

Decimal 3200328
Binary 1100001101010101001000 (22 bits)
Octal 0o14152510
Hexadecimal 0x30D548

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 44,449 88,898 133,347 177,796 266,694 355,592 400,041 533,388 800,082 1,066,776 1,600,164 3,200,328

Collatz Trajectory (376 steps to reach 1)

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

3,200,328 1,600,164 800,082 400,041 1,200,124 600,062 300,031 900,094 450,047 1,350,142 675,071 2,025,214 1,012,607 3,037,822 1,518,911 4,556,734 2,278,367 6,835,102 3,417,551 10,252,654 5,126,327 15,378,982 7,689,491 23,068,474 11,534,237 34,602,712 17,301,356 8,650,678 4,325,339 12,976,018 6,488,009 19,464,028 9,732,014 4,866,007 14,598,022 7,299,011 21,897,034 10,948,517 32,845,552 16,422,776 8,211,388 4,105,694 2,052,847 6,158,542 3,079,271 9,237,814 4,618,907 13,856,722 6,928,361 20,785,084 10,392,542 5,196,271 15,588,814 7,794,407 23,383,222 11,691,611 35,074,834 17,537,417 52,612,252 26,306,126

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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