λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,719,955
9,719,955
32 × 5 × 7 × 59 × 523
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 59 × 523
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,618,560
Proper Divisor Sum 9,898,605
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9719951 ← → #9719977

Radix Representation

Decimal 9719955
Binary 100101000101000010010011 (24 bits)
Octal 0o45050223
Hexadecimal 0x945093

Divisor Catalog (48)

1 3 5 7 9 15 21 35 45 59 63 105 177 295 315 413 523 531 885 1,239 1,569 2,065 2,615 2,655 3,661 3,717 4,707 6,195 7,845 10,983 18,305 18,585 23,535 30,857 32,949 54,915 92,571 154,285 164,745 215,999 277,713 462,855 647,997 1,079,995 1,388,565 1,943,991 3,239,985 9,719,955

Collatz Trajectory (269 steps to reach 1)

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

9,719,955 29,159,866 14,579,933 43,739,800 21,869,900 10,934,950 5,467,475 16,402,426 8,201,213 24,603,640 12,301,820 6,150,910 3,075,455 9,226,366 4,613,183 13,839,550 6,919,775 20,759,326 10,379,663 31,138,990 15,569,495 46,708,486 23,354,243 70,062,730 35,031,365 105,094,096 52,547,048 26,273,524 13,136,762 6,568,381 19,705,144 9,852,572 4,926,286 2,463,143 7,389,430 3,694,715 11,084,146 5,542,073 16,626,220 8,313,110 4,156,555 12,469,666 6,234,833 18,704,500 9,352,250 4,676,125 14,028,376 7,014,188 3,507,094 1,753,547 5,260,642 2,630,321 7,890,964 3,945,482 1,972,741 5,918,224 2,959,112 1,479,556 739,778 369,889

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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