λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,801,435
9,801,435
3 × 5 × 7 × 173 × 19
Abundant Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 17^3 × 19
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 20,044,800
Proper Divisor Sum 10,243,365
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9801431 ← → #9801439

Radix Representation

Decimal 9801435
Binary 100101011000111011011011 (24 bits)
Octal 0o45307333
Hexadecimal 0x958EDB

Divisor Catalog (60 of 64)

1 3 5 7 15 17 19 21 35 51 57 85 95 105 119 133 255 285 289 323 357 399 595 665 867 969 1,445 1,615 1,785 1,995 2,023 2,261 4,335 4,845 4,913 5,491 6,069 6,783 10,115 11,305 14,739 16,473 24,565 27,455 30,345 33,915 34,391 38,437 73,695 82,365 93,347 103,173 115,311 171,955 192,185 280,041 466,735 515,865 576,555 653,429

Collatz Trajectory (194 steps to reach 1)

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

9,801,435 29,404,306 14,702,153 44,106,460 22,053,230 11,026,615 33,079,846 16,539,923 49,619,770 24,809,885 74,429,656 37,214,828 18,607,414 9,303,707 27,911,122 13,955,561 41,866,684 20,933,342 10,466,671 31,400,014 15,700,007 47,100,022 23,550,011 70,650,034 35,325,017 105,975,052 52,987,526 26,493,763 79,481,290 39,740,645 119,221,936 59,610,968 29,805,484 14,902,742 7,451,371 22,354,114 11,177,057 33,531,172 16,765,586 8,382,793 25,148,380 12,574,190 6,287,095 18,861,286 9,430,643 28,291,930 14,145,965 42,437,896 21,218,948 10,609,474 5,304,737 15,914,212 7,957,106 3,978,553 11,935,660 5,967,830 2,983,915 8,951,746 4,475,873 13,427,620

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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