λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,467,935
8,467,935
3 × 5 × 72 × 41 × 281
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 41 × 281
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,202,592
Proper Divisor Sum 7,734,657
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8467903 ← → #8467951

Radix Representation

Decimal 8467935
Binary 100000010011010111011111 (24 bits)
Octal 0o40232737
Hexadecimal 0x8135DF

Divisor Catalog (48)

1 3 5 7 15 21 35 41 49 105 123 147 205 245 281 287 615 735 843 861 1,405 1,435 1,967 2,009 4,215 4,305 5,901 6,027 9,835 10,045 11,521 13,769 29,505 30,135 34,563 41,307 57,605 68,845 80,647 172,815 206,535 241,941 403,235 564,529 1,209,705 1,693,587 2,822,645 8,467,935

Collatz Trajectory (155 steps to reach 1)

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

8,467,935 25,403,806 12,701,903 38,105,710 19,052,855 57,158,566 28,579,283 85,737,850 42,868,925 128,606,776 64,303,388 32,151,694 16,075,847 48,227,542 24,113,771 72,341,314 36,170,657 108,511,972 54,255,986 27,127,993 81,383,980 40,691,990 20,345,995 61,037,986 30,518,993 91,556,980 45,778,490 22,889,245 68,667,736 34,333,868 17,166,934 8,583,467 25,750,402 12,875,201 38,625,604 19,312,802 9,656,401 28,969,204 14,484,602 7,242,301 21,726,904 10,863,452 5,431,726 2,715,863 8,147,590 4,073,795 12,221,386 6,110,693 18,332,080 9,166,040 4,583,020 2,291,510 1,145,755 3,437,266 1,718,633 5,155,900 2,577,950 1,288,975 3,866,926 1,933,463

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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