687,585

3 × 5 × 23 × 1993

687,585 factors as 3 × 5 × 23 × 1993. Its 16 positive divisors give a proper-divisor sum of 460,959, so this integer is deficient. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 3 × 5 × 23 × 1993

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,148,544

Proper Divisor Sum 460,959

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #687581 ← → #687593

Radix Representation

Decimal	687585
Binary	10100111110111100001 (20 bits)
Octal	0o2476741
Hexadecimal	0xA7DE1

Divisor Catalog (16)

1 3 5 15 23 69 115 345 1,993 5,979 9,965 29,895 45,839 137,517 229,195 687,585

Collatz Trajectory (229 steps to reach 1)

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

687,585 2,062,756 1,031,378 515,689 1,547,068 773,534 386,767 1,160,302 580,151 1,740,454 870,227 2,610,682 1,305,341 3,916,024 1,958,012 979,006 489,503 1,468,510 734,255 2,202,766 1,101,383 3,304,150 1,652,075 4,956,226 2,478,113 7,434,340 3,717,170 1,858,585 5,575,756 2,787,878 1,393,939 4,181,818 2,090,909 6,272,728 3,136,364 1,568,182 784,091 2,352,274 1,176,137 3,528,412 1,764,206 882,103 2,646,310 1,323,155 3,969,466 1,984,733 5,954,200 2,977,100 1,488,550 744,275 2,232,826 1,116,413 3,349,240 1,674,620 837,310 418,655 1,255,966 627,983 1,883,950 941,975

More profiles

4,045,785 7,874,817 4,096,186 4,755,560 9,027,720 6,614,659 7,936,300 222,147 4,909,513 2,579,686 1,308,195 7,686,240 8,202,887 7,660,631 7,756,792 1,232,338

← Previous Integer #687,584 Browse Full Index Next Integer #687,586 →