518,331

3 × 11 × 113 × 139

518,331 factors as 3 × 11 × 113 × 139. Its 16 positive divisors give a proper-divisor sum of 247,749, so this integer is deficient. The Collatz stopping time is 270 steps.

Prime Factor Structure

Factorization String 3 × 11 × 113 × 139

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 766,080

Proper Divisor Sum 247,749

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #518327 ← → #518341

Radix Representation

Decimal	518331
Binary	1111110100010111011 (19 bits)
Octal	0o1764273
Hexadecimal	0x7E8BB

Divisor Catalog (16)

1 3 11 33 113 139 339 417 1,243 1,529 3,729 4,587 15,707 47,121 172,777 518,331

Collatz Trajectory (270 steps to reach 1)

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

518,331 1,554,994 777,497 2,332,492 1,166,246 583,123 1,749,370 874,685 2,624,056 1,312,028 656,014 328,007 984,022 492,011 1,476,034 738,017 2,214,052 1,107,026 553,513 1,660,540 830,270 415,135 1,245,406 622,703 1,868,110 934,055 2,802,166 1,401,083 4,203,250 2,101,625 6,304,876 3,152,438 1,576,219 4,728,658 2,364,329 7,092,988 3,546,494 1,773,247 5,319,742 2,659,871 7,979,614 3,989,807 11,969,422 5,984,711 17,954,134 8,977,067 26,931,202 13,465,601 40,396,804 20,198,402 10,099,201 30,297,604 15,148,802 7,574,401 22,723,204 11,361,602 5,680,801 17,042,404 8,521,202 4,260,601

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