680,121

3² × 13 × 5813

680,121 is odd and not a perfect square. Its factorization is 3^2 × 13 × 5813 and its 12 divisors sum to 1,058,148.

Prime Factor Structure

Factorization String 3^2 × 13 × 5813

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,058,148

Proper Divisor Sum 378,027

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #680107 ← → #680123

Radix Representation

Decimal	680121
Binary	10100110000010111001 (20 bits)
Octal	0o2460271
Hexadecimal	0xA60B9

Divisor Catalog (12)

1 3 9 13 39 117 5,813 17,439 52,317 75,569 226,707 680,121

Collatz Trajectory (105 steps to reach 1)

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

680,121 2,040,364 1,020,182 510,091 1,530,274 765,137 2,295,412 1,147,706 573,853 1,721,560 860,780 430,390 215,195 645,586 322,793 968,380 484,190 242,095 726,286 363,143 1,089,430 544,715 1,634,146 817,073 2,451,220 1,225,610 612,805 1,838,416 919,208 459,604 229,802 114,901 344,704 172,352 86,176 43,088 21,544 10,772 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722

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