λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,745,340
9,745,340
22 × 5 × 112 × 4027
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 11^2 × 4027
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 22,500,408
Proper Divisor Sum 12,755,068
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9745339 ← → #9745349

Radix Representation

Decimal 9745340
Binary 100101001011001110111100 (24 bits)
Octal 0o45131674
Hexadecimal 0x94B3BC

Divisor Catalog (36)

1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1,210 2,420 4,027 8,054 16,108 20,135 40,270 44,297 80,540 88,594 177,188 221,485 442,970 487,267 885,940 974,534 1,949,068 2,436,335 4,872,670 9,745,340

Collatz Trajectory (362 steps to reach 1)

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

9,745,340 4,872,670 2,436,335 7,309,006 3,654,503 10,963,510 5,481,755 16,445,266 8,222,633 24,667,900 12,333,950 6,166,975 18,500,926 9,250,463 27,751,390 13,875,695 41,627,086 20,813,543 62,440,630 31,220,315 93,660,946 46,830,473 140,491,420 70,245,710 35,122,855 105,368,566 52,684,283 158,052,850 79,026,425 237,079,276 118,539,638 59,269,819 177,809,458 88,904,729 266,714,188 133,357,094 66,678,547 200,035,642 100,017,821 300,053,464 150,026,732 75,013,366 37,506,683 112,520,050 56,260,025 168,780,076 84,390,038 42,195,019 126,585,058 63,292,529 189,877,588 94,938,794 47,469,397 142,408,192 71,204,096 35,602,048 17,801,024 8,900,512 4,450,256 2,225,128

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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