λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,722,998
8,722,998
2 × 33 × 67 × 2411
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 67 × 2411
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,681,920
Proper Divisor Sum 10,958,922
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8722993 ← → #8722999

Radix Representation

Decimal 8722998
Binary 100001010001101000110110 (24 bits)
Octal 0o41215066
Hexadecimal 0x851A36

Divisor Catalog (32)

1 2 3 6 9 18 27 54 67 134 201 402 603 1,206 1,809 2,411 3,618 4,822 7,233 14,466 21,699 43,398 65,097 130,194 161,537 323,074 484,611 969,222 1,453,833 2,907,666 4,361,499 8,722,998

Collatz Trajectory (212 steps to reach 1)

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

8,722,998 4,361,499 13,084,498 6,542,249 19,626,748 9,813,374 4,906,687 14,720,062 7,360,031 22,080,094 11,040,047 33,120,142 16,560,071 49,680,214 24,840,107 74,520,322 37,260,161 111,780,484 55,890,242 27,945,121 83,835,364 41,917,682 20,958,841 62,876,524 31,438,262 15,719,131 47,157,394 23,578,697 70,736,092 35,368,046 17,684,023 53,052,070 26,526,035 79,578,106 39,789,053 119,367,160 59,683,580 29,841,790 14,920,895 44,762,686 22,381,343 67,144,030 33,572,015 100,716,046 50,358,023 151,074,070 75,537,035 226,611,106 113,305,553 339,916,660 169,958,330 84,979,165 254,937,496 127,468,748 63,734,374 31,867,187 95,601,562 47,800,781 143,402,344 71,701,172

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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