λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,503,835
9,503,835
3 × 5 × 11 × 239 × 241
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 11 × 239 × 241
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,727,040
Proper Divisor Sum 7,223,205
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9503777 ← → #9503843

Radix Representation

Decimal 9503835
Binary 100100010000010001011011 (24 bits)
Octal 0o44202133
Hexadecimal 0x91045B

Divisor Catalog (32)

1 3 5 11 15 33 55 165 239 241 717 723 1,195 1,205 2,629 2,651 3,585 3,615 7,887 7,953 13,145 13,255 39,435 39,765 57,599 172,797 287,995 633,589 863,985 1,900,767 3,167,945 9,503,835

Collatz Trajectory (176 steps to reach 1)

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

9,503,835 28,511,506 14,255,753 42,767,260 21,383,630 10,691,815 32,075,446 16,037,723 48,113,170 24,056,585 72,169,756 36,084,878 18,042,439 54,127,318 27,063,659 81,190,978 40,595,489 121,786,468 60,893,234 30,446,617 91,339,852 45,669,926 22,834,963 68,504,890 34,252,445 102,757,336 51,378,668 25,689,334 12,844,667 38,534,002 19,267,001 57,801,004 28,900,502 14,450,251 43,350,754 21,675,377 65,026,132 32,513,066 16,256,533 48,769,600 24,384,800 12,192,400 6,096,200 3,048,100 1,524,050 762,025 2,286,076 1,143,038 571,519 1,714,558 857,279 2,571,838 1,285,919 3,857,758 1,928,879 5,786,638 2,893,319 8,679,958 4,339,979 13,019,938

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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