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Ratio Atlas
Atlas › Integer Profiles › Node 528,003
528,003
32 × 7 × 172 × 29
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7 × 17^2 × 29
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 957,840
Proper Divisor Sum 429,837
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #528001 ← → #528013

Radix Representation

Decimal 528003
Binary 10000000111010000011 (20 bits)
Octal 0o2007203
Hexadecimal 0x80E83

Divisor Catalog (36)

1 3 7 9 17 21 29 51 63 87 119 153 203 261 289 357 493 609 867 1,071 1,479 1,827 2,023 2,601 3,451 4,437 6,069 8,381 10,353 18,207 25,143 31,059 58,667 75,429 176,001 528,003

Collatz Trajectory (71 steps to reach 1)

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

528,003 1,584,010 792,005 2,376,016 1,188,008 594,004 297,002 148,501 445,504 222,752 111,376 55,688 27,844 13,922 6,961 20,884 10,442 5,221 15,664 7,832 3,916 1,958 979 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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