520,443

3² × 7 × 11 × 751

520,443 factors as 3^2 × 7 × 11 × 751. Its 24 positive divisors give a proper-divisor sum of 418,053, so this integer is deficient. The Collatz stopping time is 301 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 11 × 751

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 938,496

Proper Divisor Sum 418,053

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #520433 ← → #520447

Radix Representation

Decimal	520443
Binary	1111111000011111011 (19 bits)
Octal	0o1770373
Hexadecimal	0x7F0FB

Divisor Catalog (24)

1 3 7 9 11 21 33 63 77 99 231 693 751 2,253 5,257 6,759 8,261 15,771 24,783 47,313 57,827 74,349 173,481 520,443

Collatz Trajectory (301 steps to reach 1)

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

520,443 1,561,330 780,665 2,341,996 1,170,998 585,499 1,756,498 878,249 2,634,748 1,317,374 658,687 1,976,062 988,031 2,964,094 1,482,047 4,446,142 2,223,071 6,669,214 3,334,607 10,003,822 5,001,911 15,005,734 7,502,867 22,508,602 11,254,301 33,762,904 16,881,452 8,440,726 4,220,363 12,661,090 6,330,545 18,991,636 9,495,818 4,747,909 14,243,728 7,121,864 3,560,932 1,780,466 890,233 2,670,700 1,335,350 667,675 2,003,026 1,001,513 3,004,540 1,502,270 751,135 2,253,406 1,126,703 3,380,110 1,690,055 5,070,166 2,535,083 7,605,250 3,802,625 11,407,876 5,703,938 2,851,969 8,555,908 4,277,954

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #520,442 Browse Full Index Next Integer #520,444 →