λ
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Atlas › Integer Profiles › Node 3,194,793

3,194,793

32 × 7 × 17 × 19 × 157
Deficient Odd Composite

3,194,793 factors as 3^2 × 7 × 17 × 19 × 157. Its 48 positive divisors give a proper-divisor sum of 2,720,727, so this integer is deficient. The Collatz stopping time is 239 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 17 × 19 × 157
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,915,520
Proper Divisor Sum 2,720,727
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3194783 ← → #3194797

Radix Representation

Decimal 3194793
Binary 1100001011111110101001 (22 bits)
Octal 0o14137651
Hexadecimal 0x30BFA9

Divisor Catalog (48)

1 3 7 9 17 19 21 51 57 63 119 133 153 157 171 323 357 399 471 969 1,071 1,099 1,197 1,413 2,261 2,669 2,907 2,983 3,297 6,783 8,007 8,949 9,891 18,683 20,349 20,881 24,021 26,847 50,711 56,049 62,643 152,133 168,147 187,929 354,977 456,399 1,064,931 3,194,793

Collatz Trajectory (239 steps to reach 1)

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

3,194,793 9,584,380 4,792,190 2,396,095 7,188,286 3,594,143 10,782,430 5,391,215 16,173,646 8,086,823 24,260,470 12,130,235 36,390,706 18,195,353 54,586,060 27,293,030 13,646,515 40,939,546 20,469,773 61,409,320 30,704,660 15,352,330 7,676,165 23,028,496 11,514,248 5,757,124 2,878,562 1,439,281 4,317,844 2,158,922 1,079,461 3,238,384 1,619,192 809,596 404,798 202,399 607,198 303,599 910,798 455,399 1,366,198 683,099 2,049,298 1,024,649 3,073,948 1,536,974 768,487 2,305,462 1,152,731 3,458,194 1,729,097 5,187,292 2,593,646 1,296,823 3,890,470 1,945,235 5,835,706 2,917,853 8,753,560 4,376,780

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