509,673

3 × 169891

509,673 factors as 3 × 169891. Its 4 positive divisors give a proper-divisor sum of 169,895, so this integer is deficient. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 3 × 169891

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 679,568

Proper Divisor Sum 169,895

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #509659 ← → #509681

Radix Representation

Decimal	509673
Binary	1111100011011101001 (19 bits)
Octal	0o1743351
Hexadecimal	0x7C6E9

Divisor Catalog (4)

1 3 169,891 509,673

Collatz Trajectory (138 steps to reach 1)

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

509,673 1,529,020 764,510 382,255 1,146,766 573,383 1,720,150 860,075 2,580,226 1,290,113 3,870,340 1,935,170 967,585 2,902,756 1,451,378 725,689 2,177,068 1,088,534 544,267 1,632,802 816,401 2,449,204 1,224,602 612,301 1,836,904 918,452 459,226 229,613 688,840 344,420 172,210 86,105 258,316 129,158 64,579 193,738 96,869 290,608 145,304 72,652 36,326 18,163 54,490 27,245 81,736 40,868 20,434 10,217 30,652 15,326 7,663 22,990 11,495 34,486 17,243 51,730 25,865 77,596 38,798 19,399

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