398,660

2² × 5 × 31 × 643

398,660 factors as 2^2 × 5 × 31 × 643. Its 24 positive divisors give a proper-divisor sum of 466,876, so this integer is abundant. The Collatz stopping time is 68 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 31 × 643

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 865,536

Proper Divisor Sum 466,876

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #398627 ← → #398669

Radix Representation

Decimal	398660
Binary	1100001010101000100 (19 bits)
Octal	0o1412504
Hexadecimal	0x61544

Divisor Catalog (24)

1 2 4 5 10 20 31 62 124 155 310 620 643 1,286 2,572 3,215 6,430 12,860 19,933 39,866 79,732 99,665 199,330 398,660

Collatz Trajectory (68 steps to reach 1)

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

398,660 199,330 99,665 298,996 149,498 74,749 224,248 112,124 56,062 28,031 84,094 42,047 126,142 63,071 189,214 94,607 283,822 141,911 425,734 212,867 638,602 319,301 957,904 478,952 239,476 119,738 59,869 179,608 89,804 44,902 22,451 67,354 33,677 101,032 50,516 25,258 12,629 37,888 18,944 9,472 4,736 2,368 1,184 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13

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