628,686

2 × 3² × 53 × 659

628,686 factors as 2 × 3^2 × 53 × 659. Its 24 positive divisors give a proper-divisor sum of 761,274, so this integer is abundant. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 53 × 659

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,389,960

Proper Divisor Sum 761,274

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #628681 ← → #628687

Radix Representation

Decimal	628686
Binary	10011001011111001110 (20 bits)
Octal	0o2313716
Hexadecimal	0x997CE

Divisor Catalog (24)

Collatz Trajectory (128 steps to reach 1)

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

628,686 314,343 943,030 471,515 1,414,546 707,273 2,121,820 1,060,910 530,455 1,591,366 795,683 2,387,050 1,193,525 3,580,576 1,790,288 895,144 447,572 223,786 111,893 335,680 167,840 83,920 41,960 20,980 10,490 5,245 15,736 7,868 3,934 1,967 5,902 2,951 8,854 4,427 13,282 6,641 19,924 9,962 4,981 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #628,685 Browse Full Index Next Integer #628,687 →