λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,309,740
9,309,740
22 × 5 × 112 × 3847
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 11^2 × 3847
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 21,494,928
Proper Divisor Sum 12,185,188
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9309739 ← → #9309743

Radix Representation

Decimal 9309740
Binary 100011100000111000101100 (24 bits)
Octal 0o43407054
Hexadecimal 0x8E0E2C

Divisor Catalog (36)

1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1,210 2,420 3,847 7,694 15,388 19,235 38,470 42,317 76,940 84,634 169,268 211,585 423,170 465,487 846,340 930,974 1,861,948 2,327,435 4,654,870 9,309,740

Collatz Trajectory (163 steps to reach 1)

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

9,309,740 4,654,870 2,327,435 6,982,306 3,491,153 10,473,460 5,236,730 2,618,365 7,855,096 3,927,548 1,963,774 981,887 2,945,662 1,472,831 4,418,494 2,209,247 6,627,742 3,313,871 9,941,614 4,970,807 14,912,422 7,456,211 22,368,634 11,184,317 33,552,952 16,776,476 8,388,238 4,194,119 12,582,358 6,291,179 18,873,538 9,436,769 28,310,308 14,155,154 7,077,577 21,232,732 10,616,366 5,308,183 15,924,550 7,962,275 23,886,826 11,943,413 35,830,240 17,915,120 8,957,560 4,478,780 2,239,390 1,119,695 3,359,086 1,679,543 5,038,630 2,519,315 7,557,946 3,778,973 11,336,920 5,668,460 2,834,230 1,417,115 4,251,346 2,125,673

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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