λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,780,100
9,780,100
22 × 52 × 11 × 17 × 523
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5^2 × 11 × 17 × 523
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 24,560,928
Proper Divisor Sum 14,780,828
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #9780091 ← → #9780101

Radix Representation

Decimal 9780100
Binary 100101010011101110000100 (24 bits)
Octal 0o45235604
Hexadecimal 0x953B84

Divisor Catalog (60 of 72)

1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 523 550 748 850 935 1,046 1,100 1,700 1,870 2,092 2,615 3,740 4,675 5,230 5,753 8,891 9,350 10,460 11,506 13,075 17,782 18,700 23,012 26,150 28,765 35,564 44,455 52,300 57,530 88,910 97,801 115,060 143,825 177,820 195,602

Collatz Trajectory (238 steps to reach 1)

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

9,780,100 4,890,050 2,445,025 7,335,076 3,667,538 1,833,769 5,501,308 2,750,654 1,375,327 4,125,982 2,062,991 6,188,974 3,094,487 9,283,462 4,641,731 13,925,194 6,962,597 20,887,792 10,443,896 5,221,948 2,610,974 1,305,487 3,916,462 1,958,231 5,874,694 2,937,347 8,812,042 4,406,021 13,218,064 6,609,032 3,304,516 1,652,258 826,129 2,478,388 1,239,194 619,597 1,858,792 929,396 464,698 232,349 697,048 348,524 174,262 87,131 261,394 130,697 392,092 196,046 98,023 294,070 147,035 441,106 220,553 661,660 330,830 165,415 496,246 248,123 744,370 372,185

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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