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Ratio Atlas
Atlas › Integer Profiles › Node 429,615
429,615
32 × 5 × 9547
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 9547
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 744,744
Proper Divisor Sum 315,129
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #429599 ← → #429631

Radix Representation

Decimal 429615
Binary 1101000111000101111 (19 bits)
Octal 0o1507057
Hexadecimal 0x68E2F

Divisor Catalog (12)

1 3 5 9 15 45 9,547 28,641 47,735 85,923 143,205 429,615

Collatz Trajectory (249 steps to reach 1)

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

429,615 1,288,846 644,423 1,933,270 966,635 2,899,906 1,449,953 4,349,860 2,174,930 1,087,465 3,262,396 1,631,198 815,599 2,446,798 1,223,399 3,670,198 1,835,099 5,505,298 2,752,649 8,257,948 4,128,974 2,064,487 6,193,462 3,096,731 9,290,194 4,645,097 13,935,292 6,967,646 3,483,823 10,451,470 5,225,735 15,677,206 7,838,603 23,515,810 11,757,905 35,273,716 17,636,858 8,818,429 26,455,288 13,227,644 6,613,822 3,306,911 9,920,734 4,960,367 14,881,102 7,440,551 22,321,654 11,160,827 33,482,482 16,741,241 50,223,724 25,111,862 12,555,931 37,667,794 18,833,897 56,501,692 28,250,846 14,125,423 42,376,270 21,188,135

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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