λ
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660,210

2 × 3 × 5 × 59 × 373
Abundant Even Composite

660,210 factors as 2 × 3 × 5 × 59 × 373. Its 32 positive divisors give a proper-divisor sum of 955,470, so this integer is abundant. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 59 × 373
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,615,680
Proper Divisor Sum 955,470
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #660199 ← → #660217

Radix Representation

Decimal 660210
Binary 10100001001011110010 (20 bits)
Octal 0o2411362
Hexadecimal 0xA12F2

Divisor Catalog (32)

1 2 3 5 6 10 15 30 59 118 177 295 354 373 590 746 885 1,119 1,770 1,865 2,238 3,730 5,595 11,190 22,007 44,014 66,021 110,035 132,042 220,070 330,105 660,210

Collatz Trajectory (229 steps to reach 1)

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

660,210 330,105 990,316 495,158 247,579 742,738 371,369 1,114,108 557,054 278,527 835,582 417,791 1,253,374 626,687 1,880,062 940,031 2,820,094 1,410,047 4,230,142 2,115,071 6,345,214 3,172,607 9,517,822 4,758,911 14,276,734 7,138,367 21,415,102 10,707,551 32,122,654 16,061,327 48,183,982 24,091,991 72,275,974 36,137,987 108,413,962 54,206,981 162,620,944 81,310,472 40,655,236 20,327,618 10,163,809 30,491,428 15,245,714 7,622,857 22,868,572 11,434,286 5,717,143 17,151,430 8,575,715 25,727,146 12,863,573 38,590,720 19,295,360 9,647,680 4,823,840 2,411,920 1,205,960 602,980 301,490 150,745

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