λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,109,947
9,109,947
3 × 7 × 11 × 113 × 349
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 11 × 113 × 349
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,321,600
Proper Divisor Sum 6,211,653
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9109927 ← → #9109957

Radix Representation

Decimal 9109947
Binary 100010110000000110111011 (24 bits)
Octal 0o42600673
Hexadecimal 0x8B01BB

Divisor Catalog (32)

1 3 7 11 21 33 77 113 231 339 349 791 1,047 1,243 2,373 2,443 3,729 3,839 7,329 8,701 11,517 26,103 26,873 39,437 80,619 118,311 276,059 433,807 828,177 1,301,421 3,036,649 9,109,947

Collatz Trajectory (362 steps to reach 1)

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

9,109,947 27,329,842 13,664,921 40,994,764 20,497,382 10,248,691 30,746,074 15,373,037 46,119,112 23,059,556 11,529,778 5,764,889 17,294,668 8,647,334 4,323,667 12,971,002 6,485,501 19,456,504 9,728,252 4,864,126 2,432,063 7,296,190 3,648,095 10,944,286 5,472,143 16,416,430 8,208,215 24,624,646 12,312,323 36,936,970 18,468,485 55,405,456 27,702,728 13,851,364 6,925,682 3,462,841 10,388,524 5,194,262 2,597,131 7,791,394 3,895,697 11,687,092 5,843,546 2,921,773 8,765,320 4,382,660 2,191,330 1,095,665 3,286,996 1,643,498 821,749 2,465,248 1,232,624 616,312 308,156 154,078 77,039 231,118 115,559 346,678

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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