λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,507,780
9,507,780
22 × 34 × 5 × 5869
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^4 × 5 × 5869
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 29,831,340
Proper Divisor Sum 20,323,560
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9507767 ← → #9507787

Radix Representation

Decimal 9507780
Binary 100100010001001111000100 (24 bits)
Octal 0o44211704
Hexadecimal 0x9113C4

Divisor Catalog (60)

1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1,620 5,869 11,738 17,607 23,476 29,345 35,214 52,821 58,690 70,428 88,035 105,642 117,380 158,463 176,070 211,284 264,105 316,926 352,140 475,389 528,210 633,852 792,315 950,778 1,056,420 1,584,630 1,901,556 2,376,945 3,169,260 4,753,890 9,507,780

Collatz Trajectory (75 steps to reach 1)

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

9,507,780 4,753,890 2,376,945 7,130,836 3,565,418 1,782,709 5,348,128 2,674,064 1,337,032 668,516 334,258 167,129 501,388 250,694 125,347 376,042 188,021 564,064 282,032 141,016 70,508 35,254 17,627 52,882 26,441 79,324 39,662 19,831 59,494 29,747 89,242 44,621 133,864 66,932 33,466 16,733 50,200 25,100 12,550 6,275 18,826 9,413 28,240 14,120 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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