λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,107,032
9,107,032
23 × 11 × 37 × 2797
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 11 × 37 × 2797
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,138,320
Proper Divisor Sum 10,031,288
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #9107027 ← → #9107051

Radix Representation

Decimal 9107032
Binary 100010101111011001011000 (24 bits)
Octal 0o42573130
Hexadecimal 0x8AF658

Divisor Catalog (32)

1 2 4 8 11 22 37 44 74 88 148 296 407 814 1,628 2,797 3,256 5,594 11,188 22,376 30,767 61,534 103,489 123,068 206,978 246,136 413,956 827,912 1,138,379 2,276,758 4,553,516 9,107,032

Collatz Trajectory (212 steps to reach 1)

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

9,107,032 4,553,516 2,276,758 1,138,379 3,415,138 1,707,569 5,122,708 2,561,354 1,280,677 3,842,032 1,921,016 960,508 480,254 240,127 720,382 360,191 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 #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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