550,107

3² × 19 × 3217

550,107 factors as 3^2 × 19 × 3217. Its 12 positive divisors give a proper-divisor sum of 286,573, so this integer is deficient. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 3^2 × 19 × 3217

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 836,680

Proper Divisor Sum 286,573

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #550073 ← → #550111

Radix Representation

Decimal	550107
Binary	10000110010011011011 (20 bits)
Octal	0o2062333
Hexadecimal	0x864DB

Divisor Catalog (12)

1 3 9 19 57 171 3,217 9,651 28,953 61,123 183,369 550,107

Collatz Trajectory (120 steps to reach 1)

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

550,107 1,650,322 825,161 2,475,484 1,237,742 618,871 1,856,614 928,307 2,784,922 1,392,461 4,177,384 2,088,692 1,044,346 522,173 1,566,520 783,260 391,630 195,815 587,446 293,723 881,170 440,585 1,321,756 660,878 330,439 991,318 495,659 1,486,978 743,489 2,230,468 1,115,234 557,617 1,672,852 836,426 418,213 1,254,640 627,320 313,660 156,830 78,415 235,246 117,623 352,870 176,435 529,306 264,653 793,960 396,980 198,490 99,245 297,736 148,868 74,434 37,217 111,652 55,826 27,913 83,740 41,870 20,935

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