107,217

3³ × 11 × 19²

107,217 factors as 3^3 × 11 × 19^2. Its 24 positive divisors give a proper-divisor sum of 75,663, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 3^3 × 11 × 19^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 182,880

Proper Divisor Sum 75,663

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #107209 ← → #107227

Radix Representation

Decimal	107217
Binary	11010001011010001 (17 bits)
Octal	0o321321
Hexadecimal	0x1A2D1

Divisor Catalog (24)

1 3 9 11 19 27 33 57 99 171 209 297 361 513 627 1,083 1,881 3,249 3,971 5,643 9,747 11,913 35,739 107,217

Collatz Trajectory (123 steps to reach 1)

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

107,217 321,652 160,826 80,413 241,240 120,620 60,310 30,155 90,466 45,233 135,700 67,850 33,925 101,776 50,888 25,444 12,722 6,361 19,084 9,542 4,771 14,314 7,157 21,472 10,736 5,368 2,684 1,342 671 2,014 1,007 3,022 1,511 4,534 2,267 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090

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