λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,107,046
9,107,046
2 × 33 × 13 × 12973
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 13 × 12973
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,796,320
Proper Divisor Sum 12,689,274
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9107027 ← → #9107051

Radix Representation

Decimal 9107046
Binary 100010101111011001100110 (24 bits)
Octal 0o42573146
Hexadecimal 0x8AF666

Divisor Catalog (32)

1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 12,973 25,946 38,919 77,838 116,757 168,649 233,514 337,298 350,271 505,947 700,542 1,011,894 1,517,841 3,035,682 4,553,523 9,107,046

Collatz Trajectory (212 steps to reach 1)

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

9,107,046 4,553,523 13,660,570 6,830,285 20,490,856 10,245,428 5,122,714 2,561,357 7,684,072 3,842,036 1,921,018 960,509 2,881,528 1,440,764 720,382 360,191 1,080,574 540,287 1,620,862 810,431 2,431,294 1,215,647 3,646,942 1,823,471 5,470,414 2,735,207 8,205,622 4,102,811 12,308,434 6,154,217 18,462,652 9,231,326 4,615,663 13,846,990 6,923,495 20,770,486 10,385,243 31,155,730 15,577,865 46,733,596 23,366,798 11,683,399 35,050,198 17,525,099 52,575,298 26,287,649 78,862,948 39,431,474 19,715,737 59,147,212 29,573,606 14,786,803 44,360,410 22,180,205 66,540,616 33,270,308 16,635,154 8,317,577 24,952,732 12,476,366

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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