λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,216,620
9,216,620
22 × 5 × 7 × 43 × 1531
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 43 × 1531
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 22,649,088
Proper Divisor Sum 13,432,468
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #9216611 ← → #9216631

Radix Representation

Decimal 9216620
Binary 100011001010001001101100 (24 bits)
Octal 0o43121154
Hexadecimal 0x8CA26C

Divisor Catalog (48)

1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 860 1,204 1,505 1,531 3,010 3,062 6,020 6,124 7,655 10,717 15,310 21,434 30,620 42,868 53,585 65,833 107,170 131,666 214,340 263,332 329,165 460,831 658,330 921,662 1,316,660 1,843,324 2,304,155 4,608,310 9,216,620

Collatz Trajectory (256 steps to reach 1)

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

9,216,620 4,608,310 2,304,155 6,912,466 3,456,233 10,368,700 5,184,350 2,592,175 7,776,526 3,888,263 11,664,790 5,832,395 17,497,186 8,748,593 26,245,780 13,122,890 6,561,445 19,684,336 9,842,168 4,921,084 2,460,542 1,230,271 3,690,814 1,845,407 5,536,222 2,768,111 8,304,334 4,152,167 12,456,502 6,228,251 18,684,754 9,342,377 28,027,132 14,013,566 7,006,783 21,020,350 10,510,175 31,530,526 15,765,263 47,295,790 23,647,895 70,943,686 35,471,843 106,415,530 53,207,765 159,623,296 79,811,648 39,905,824 19,952,912 9,976,456 4,988,228 2,494,114 1,247,057 3,741,172 1,870,586 935,293 2,805,880 1,402,940 701,470 350,735

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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