191,007

3² × 19 × 1117

191,007 factors as 3^2 × 19 × 1117. Its 12 positive divisors give a proper-divisor sum of 99,673, so this integer is deficient. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 3^2 × 19 × 1117

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 290,680

Proper Divisor Sum 99,673

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #190997 ← → #191021

Radix Representation

Decimal	191007
Binary	101110101000011111 (18 bits)
Octal	0o565037
Hexadecimal	0x2EA1F

Divisor Catalog (12)

1 3 9 19 57 171 1,117 3,351 10,053 21,223 63,669 191,007

Collatz Trajectory (103 steps to reach 1)

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

191,007 573,022 286,511 859,534 429,767 1,289,302 644,651 1,933,954 966,977 2,900,932 1,450,466 725,233 2,175,700 1,087,850 543,925 1,631,776 815,888 407,944 203,972 101,986 50,993 152,980 76,490 38,245 114,736 57,368 28,684 14,342 7,171 21,514 10,757 32,272 16,136 8,068 4,034 2,017 6,052 3,026 1,513 4,540 2,270 1,135 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280

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