λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,253,755
9,253,755
32 × 5 × 7 × 29 × 1013
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 29 × 1013
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 18,982,080
Proper Divisor Sum 9,728,325
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9253723 ← → #9253789

Radix Representation

Decimal 9253755
Binary 100011010011001101111011 (24 bits)
Octal 0o43231573
Hexadecimal 0x8D337B

Divisor Catalog (48)

1 3 5 7 9 15 21 29 35 45 63 87 105 145 203 261 315 435 609 1,013 1,015 1,305 1,827 3,039 3,045 5,065 7,091 9,117 9,135 15,195 21,273 29,377 35,455 45,585 63,819 88,131 106,365 146,885 205,639 264,393 319,095 440,655 616,917 1,028,195 1,321,965 1,850,751 3,084,585 9,253,755

Collatz Trajectory (238 steps to reach 1)

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

9,253,755 27,761,266 13,880,633 41,641,900 20,820,950 10,410,475 31,231,426 15,615,713 46,847,140 23,423,570 11,711,785 35,135,356 17,567,678 8,783,839 26,351,518 13,175,759 39,527,278 19,763,639 59,290,918 29,645,459 88,936,378 44,468,189 133,404,568 66,702,284 33,351,142 16,675,571 50,026,714 25,013,357 75,040,072 37,520,036 18,760,018 9,380,009 28,140,028 14,070,014 7,035,007 21,105,022 10,552,511 31,657,534 15,828,767 47,486,302 23,743,151 71,229,454 35,614,727 106,844,182 53,422,091 160,266,274 80,133,137 240,399,412 120,199,706 60,099,853 180,299,560 90,149,780 45,074,890 22,537,445 67,612,336 33,806,168 16,903,084 8,451,542 4,225,771 12,677,314

Active Feeder Network

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

Feeder #1,448,561 Feeder #6,970,568 Feeder #2,947,453 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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