λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,780,786
9,780,786
2 × 32 × 157 × 3461
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 157 × 3461
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 21,332,844
Proper Divisor Sum 11,552,058
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9780781 ← → #9780787

Radix Representation

Decimal 9780786
Binary 100101010011111000110010 (24 bits)
Octal 0o45237062
Hexadecimal 0x953E32

Divisor Catalog (24)

1 2 3 6 9 18 157 314 471 942 1,413 2,826 3,461 6,922 10,383 20,766 31,149 62,298 543,377 1,086,754 1,630,131 3,260,262 4,890,393 9,780,786

Collatz Trajectory (220 steps to reach 1)

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

9,780,786 4,890,393 14,671,180 7,335,590 3,667,795 11,003,386 5,501,693 16,505,080 8,252,540 4,126,270 2,063,135 6,189,406 3,094,703 9,284,110 4,642,055 13,926,166 6,963,083 20,889,250 10,444,625 31,333,876 15,666,938 7,833,469 23,500,408 11,750,204 5,875,102 2,937,551 8,812,654 4,406,327 13,218,982 6,609,491 19,828,474 9,914,237 29,742,712 14,871,356 7,435,678 3,717,839 11,153,518 5,576,759 16,730,278 8,365,139 25,095,418 12,547,709 37,643,128 18,821,564 9,410,782 4,705,391 14,116,174 7,058,087 21,174,262 10,587,131 31,761,394 15,880,697 47,642,092 23,821,046 11,910,523 35,731,570 17,865,785 53,597,356 26,798,678 13,399,339

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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