λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,242,084
10,242,084
22 × 3 × 23 × 43 × 863
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 23 × 43 × 863
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 25,546,752
Proper Divisor Sum 15,304,668
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #10242077 ← → #10242101

Radix Representation

Decimal 10242084
Binary 100111000100100000100100 (24 bits)
Octal 0o47044044
Hexadecimal 0x9C4824

Divisor Catalog (48)

1 2 3 4 6 12 23 43 46 69 86 92 129 138 172 258 276 516 863 989 1,726 1,978 2,589 2,967 3,452 3,956 5,178 5,934 10,356 11,868 19,849 37,109 39,698 59,547 74,218 79,396 111,327 119,094 148,436 222,654 238,188 445,308 853,507 1,707,014 2,560,521 3,414,028 5,121,042 10,242,084

Collatz Trajectory (83 steps to reach 1)

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

10,242,084 5,121,042 2,560,521 7,681,564 3,840,782 1,920,391 5,761,174 2,880,587 8,641,762 4,320,881 12,962,644 6,481,322 3,240,661 9,721,984 4,860,992 2,430,496 1,215,248 607,624 303,812 151,906 75,953 227,860 113,930 56,965 170,896 85,448 42,724 21,362 10,681 32,044 16,022 8,011 24,034 12,017 36,052 18,026 9,013 27,040 13,520 6,760 3,380 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304

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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