λ
Ratio Atlas
Atlas › Integer Profiles › Node 18,200,325
18,200,325
3 × 52 × 11 × 13 × 1697
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 11 × 13 × 1697
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 35,372,736
Proper Divisor Sum 17,172,411
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #18200297 ← → #18200333

Radix Representation

Decimal 18200325
Binary 1000101011011011100000101 (25 bits)
Octal 0o105333405
Hexadecimal 0x115B705

Divisor Catalog (48)

1 3 5 11 13 15 25 33 39 55 65 75 143 165 195 275 325 429 715 825 975 1,697 2,145 3,575 5,091 8,485 10,725 18,667 22,061 25,455 42,425 56,001 66,183 93,335 110,305 127,275 242,671 280,005 330,915 466,675 551,525 728,013 1,213,355 1,400,025 1,654,575 3,640,065 6,066,775 18,200,325

Collatz Trajectory (81 steps to reach 1)

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

18,200,325 54,600,976 27,300,488 13,650,244 6,825,122 3,412,561 10,237,684 5,118,842 2,559,421 7,678,264 3,839,132 1,919,566 959,783 2,879,350 1,439,675 4,319,026 2,159,513 6,478,540 3,239,270 1,619,635 4,858,906 2,429,453 7,288,360 3,644,180 1,822,090 911,045 2,733,136 1,366,568 683,284 341,642 170,821 512,464 256,232 128,116 64,058 32,029 96,088 48,044 24,022 12,011 36,034 18,017 54,052 27,026 13,513 40,540 20,270 10,135 30,406 15,203 45,610 22,805 68,416 34,208 17,104 8,552 4,276 2,138 1,069 3,208

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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