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Ratio Atlas
Atlas › Integer Profiles › Node 10,071,590
10,071,590
2 × 5 × 31 × 53 × 613
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 31 × 53 × 613
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,097,856
Proper Divisor Sum 9,026,266
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #10071587 ← → #10071601

Radix Representation

Decimal 10071590
Binary 100110011010111000100110 (24 bits)
Octal 0o46327046
Hexadecimal 0x99AE26

Divisor Catalog (32)

1 2 5 10 31 53 62 106 155 265 310 530 613 1,226 1,643 3,065 3,286 6,130 8,215 16,430 19,003 32,489 38,006 64,978 95,015 162,445 190,030 324,890 1,007,159 2,014,318 5,035,795 10,071,590

Collatz Trajectory (251 steps to reach 1)

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

10,071,590 5,035,795 15,107,386 7,553,693 22,661,080 11,330,540 5,665,270 2,832,635 8,497,906 4,248,953 12,746,860 6,373,430 3,186,715 9,560,146 4,780,073 14,340,220 7,170,110 3,585,055 10,755,166 5,377,583 16,132,750 8,066,375 24,199,126 12,099,563 36,298,690 18,149,345 54,448,036 27,224,018 13,612,009 40,836,028 20,418,014 10,209,007 30,627,022 15,313,511 45,940,534 22,970,267 68,910,802 34,455,401 103,366,204 51,683,102 25,841,551 77,524,654 38,762,327 116,286,982 58,143,491 174,430,474 87,215,237 261,645,712 130,822,856 65,411,428 32,705,714 16,352,857 49,058,572 24,529,286 12,264,643 36,793,930 18,396,965 55,190,896 27,595,448 13,797,724

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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