λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,747,320
9,747,320
23 × 5 × 11 × 22153
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 22153
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,926,320
Proper Divisor Sum 14,179,000
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9747301 ← → #9747337

Radix Representation

Decimal 9747320
Binary 100101001011101101111000 (24 bits)
Octal 0o45135570
Hexadecimal 0x94BB78

Divisor Catalog (32)

1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 22,153 44,306 88,612 110,765 177,224 221,530 243,683 443,060 487,366 886,120 974,732 1,218,415 1,949,464 2,436,830 4,873,660 9,747,320

Collatz Trajectory (150 steps to reach 1)

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

9,747,320 4,873,660 2,436,830 1,218,415 3,655,246 1,827,623 5,482,870 2,741,435 8,224,306 4,112,153 12,336,460 6,168,230 3,084,115 9,252,346 4,626,173 13,878,520 6,939,260 3,469,630 1,734,815 5,204,446 2,602,223 7,806,670 3,903,335 11,710,006 5,855,003 17,565,010 8,782,505 26,347,516 13,173,758 6,586,879 19,760,638 9,880,319 29,640,958 14,820,479 44,461,438 22,230,719 66,692,158 33,346,079 100,038,238 50,019,119 150,057,358 75,028,679 225,086,038 112,543,019 337,629,058 168,814,529 506,443,588 253,221,794 126,610,897 379,832,692 189,916,346 94,958,173 284,874,520 142,437,260 71,218,630 35,609,315 106,827,946 53,413,973 160,241,920 80,120,960

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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