λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,308,530
9,308,530
2 × 5 × 72 × 112 × 157
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 11^2 × 157
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 21,560,364
Proper Divisor Sum 12,251,834
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #9308527 ← → #9308531

Radix Representation

Decimal 9308530
Binary 100011100000100101110010 (24 bits)
Octal 0o43404562
Hexadecimal 0x8E0972

Divisor Catalog (60 of 72)

1 2 5 7 10 11 14 22 35 49 55 70 77 98 110 121 154 157 242 245 314 385 490 539 605 770 785 847 1,078 1,099 1,210 1,570 1,694 1,727 2,198 2,695 3,454 4,235 5,390 5,495 5,929 7,693 8,470 8,635 10,990 11,858 12,089 15,386 17,270 18,997 24,178 29,645 37,994 38,465 59,290 60,445 76,930 84,623 94,985 120,890

Collatz Trajectory (225 steps to reach 1)

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

9,308,530 4,654,265 13,962,796 6,981,398 3,490,699 10,472,098 5,236,049 15,708,148 7,854,074 3,927,037 11,781,112 5,890,556 2,945,278 1,472,639 4,417,918 2,208,959 6,626,878 3,313,439 9,940,318 4,970,159 14,910,478 7,455,239 22,365,718 11,182,859 33,548,578 16,774,289 50,322,868 25,161,434 12,580,717 37,742,152 18,871,076 9,435,538 4,717,769 14,153,308 7,076,654 3,538,327 10,614,982 5,307,491 15,922,474 7,961,237 23,883,712 11,941,856 5,970,928 2,985,464 1,492,732 746,366 373,183 1,119,550 559,775 1,679,326 839,663 2,518,990 1,259,495 3,778,486 1,889,243 5,667,730 2,833,865 8,501,596 4,250,798 2,125,399

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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