λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,200,030
10,200,030
2 × 3 × 5 × 43 × 7907
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 43 × 7907
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 25,052,544
Proper Divisor Sum 14,852,514
Digit Sum / Digital Root 6 (Root: 6)
Adjacent Primes #10200011 ← → #10200037

Radix Representation

Decimal 10200030
Binary 100110111010001111011110 (24 bits)
Octal 0o46721736
Hexadecimal 0x9BA3DE

Divisor Catalog (32)

1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 1,290 7,907 15,814 23,721 39,535 47,442 79,070 118,605 237,210 340,001 680,002 1,020,003 1,700,005 2,040,006 3,400,010 5,100,015 10,200,030

Collatz Trajectory (388 steps to reach 1)

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

10,200,030 5,100,015 15,300,046 7,650,023 22,950,070 11,475,035 34,425,106 17,212,553 51,637,660 25,818,830 12,909,415 38,728,246 19,364,123 58,092,370 29,046,185 87,138,556 43,569,278 21,784,639 65,353,918 32,676,959 98,030,878 49,015,439 147,046,318 73,523,159 220,569,478 110,284,739 330,854,218 165,427,109 496,281,328 248,140,664 124,070,332 62,035,166 31,017,583 93,052,750 46,526,375 139,579,126 69,789,563 209,368,690 104,684,345 314,053,036 157,026,518 78,513,259 235,539,778 117,769,889 353,309,668 176,654,834 88,327,417 264,982,252 132,491,126 66,245,563 198,736,690 99,368,345 298,105,036 149,052,518 74,526,259 223,578,778 111,789,389 335,368,168 167,684,084 83,842,042

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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