λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,109,737
9,109,737
32 × 73 × 13 × 227
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7^3 × 13 × 227
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,598,400
Proper Divisor Sum 7,488,663
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9109729 ← → #9109757

Radix Representation

Decimal 9109737
Binary 100010110000000011101001 (24 bits)
Octal 0o42600351
Hexadecimal 0x8B00E9

Divisor Catalog (48)

1 3 7 9 13 21 39 49 63 91 117 147 227 273 343 441 637 681 819 1,029 1,589 1,911 2,043 2,951 3,087 4,459 4,767 5,733 8,853 11,123 13,377 14,301 20,657 26,559 33,369 40,131 61,971 77,861 100,107 144,599 185,913 233,583 433,797 700,749 1,012,193 1,301,391 3,036,579 9,109,737

Collatz Trajectory (256 steps to reach 1)

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

9,109,737 27,329,212 13,664,606 6,832,303 20,496,910 10,248,455 30,745,366 15,372,683 46,118,050 23,059,025 69,177,076 34,588,538 17,294,269 51,882,808 25,941,404 12,970,702 6,485,351 19,456,054 9,728,027 29,184,082 14,592,041 43,776,124 21,888,062 10,944,031 32,832,094 16,416,047 49,248,142 24,624,071 73,872,214 36,936,107 110,808,322 55,404,161 166,212,484 83,106,242 41,553,121 124,659,364 62,329,682 31,164,841 93,494,524 46,747,262 23,373,631 70,120,894 35,060,447 105,181,342 52,590,671 157,772,014 78,886,007 236,658,022 118,329,011 354,987,034 177,493,517 532,480,552 266,240,276 133,120,138 66,560,069 199,680,208 99,840,104 49,920,052 24,960,026 12,480,013

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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