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Ratio Atlas
Atlas › Integer Profiles › Node 396,315
396,315
32 × 5 × 8807
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 8807
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 687,024
Proper Divisor Sum 290,709
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #396311 ← → #396323

Radix Representation

Decimal 396315
Binary 1100000110000011011 (19 bits)
Octal 0o1406033
Hexadecimal 0x60C1B

Divisor Catalog (12)

1 3 5 9 15 45 8,807 26,421 44,035 79,263 132,105 396,315

Collatz Trajectory (236 steps to reach 1)

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

396,315 1,188,946 594,473 1,783,420 891,710 445,855 1,337,566 668,783 2,006,350 1,003,175 3,009,526 1,504,763 4,514,290 2,257,145 6,771,436 3,385,718 1,692,859 5,078,578 2,539,289 7,617,868 3,808,934 1,904,467 5,713,402 2,856,701 8,570,104 4,285,052 2,142,526 1,071,263 3,213,790 1,606,895 4,820,686 2,410,343 7,231,030 3,615,515 10,846,546 5,423,273 16,269,820 8,134,910 4,067,455 12,202,366 6,101,183 18,303,550 9,151,775 27,455,326 13,727,663 41,182,990 20,591,495 61,774,486 30,887,243 92,661,730 46,330,865 138,992,596 69,496,298 34,748,149 104,244,448 52,122,224 26,061,112 13,030,556 6,515,278 3,257,639

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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