λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,730,422
9,730,422
2 × 33 × 13 × 83 × 167
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 13 × 83 × 167
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 23,708,160
Proper Divisor Sum 13,977,738
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9730393 ← → #9730423

Radix Representation

Decimal 9730422
Binary 100101000111100101110110 (24 bits)
Octal 0o45074566
Hexadecimal 0x947976

Divisor Catalog (60 of 64)

1 2 3 6 9 13 18 26 27 39 54 78 83 117 166 167 234 249 334 351 498 501 702 747 1,002 1,079 1,494 1,503 2,158 2,171 2,241 3,006 3,237 4,342 4,482 4,509 6,474 6,513 9,018 9,711 13,026 13,861 19,422 19,539 27,722 29,133 39,078 41,583 58,266 58,617 83,166 117,234 124,749 180,193 249,498 360,386 374,247 540,579 748,494 1,081,158

Collatz Trajectory (199 steps to reach 1)

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

9,730,422 4,865,211 14,595,634 7,297,817 21,893,452 10,946,726 5,473,363 16,420,090 8,210,045 24,630,136 12,315,068 6,157,534 3,078,767 9,236,302 4,618,151 13,854,454 6,927,227 20,781,682 10,390,841 31,172,524 15,586,262 7,793,131 23,379,394 11,689,697 35,069,092 17,534,546 8,767,273 26,301,820 13,150,910 6,575,455 19,726,366 9,863,183 29,589,550 14,794,775 44,384,326 22,192,163 66,576,490 33,288,245 99,864,736 49,932,368 24,966,184 12,483,092 6,241,546 3,120,773 9,362,320 4,681,160 2,340,580 1,170,290 585,145 1,755,436 877,718 438,859 1,316,578 658,289 1,974,868 987,434 493,717 1,481,152 740,576 370,288

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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