λ
Integer Codex

1,794,309

3 × 112 × 4943
Deficient Odd Composite

For 1,794,309, the 12 positive divisors have a total of 2,630,208. Removing 1,794,309 leaves 835,899, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 11^2 × 4943
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,630,208
Proper Divisor Sum 835,899
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1794301 ← → #1794313

Radix Representation

Decimal 1794309
Binary 110110110000100000101 (21 bits)
Octal 0o6660405
Hexadecimal 0x1B6105

Divisor Catalog (12)

1 3 11 33 121 363 4,943 14,829 54,373 163,119 598,103 1,794,309

Collatz Trajectory (264 steps to reach 1)

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

1,794,309 5,382,928 2,691,464 1,345,732 672,866 336,433 1,009,300 504,650 252,325 756,976 378,488 189,244 94,622 47,311 141,934 70,967 212,902 106,451 319,354 159,677 479,032 239,516 119,758 59,879 179,638 89,819 269,458 134,729 404,188 202,094 101,047 303,142 151,571 454,714 227,357 682,072 341,036 170,518 85,259 255,778 127,889 383,668 191,834 95,917 287,752 143,876 71,938 35,969 107,908 53,954 26,977 80,932 40,466 20,233 60,700 30,350 15,175 45,526 22,763 68,290

More profiles

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