352,030

2 × 5 × 7 × 47 × 107

352,030 factors as 2 × 5 × 7 × 47 × 107. Its 32 positive divisors give a proper-divisor sum of 394,466, so this integer is abundant. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 47 × 107

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 746,496

Proper Divisor Sum 394,466

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #352021 ← → #352043

Radix Representation

Decimal	352030
Binary	1010101111100011110 (19 bits)
Octal	0o1257436
Hexadecimal	0x55F1E

Divisor Catalog (32)

1 2 5 7 10 14 35 47 70 94 107 214 235 329 470 535 658 749 1,070 1,498 1,645 3,290 3,745 5,029 7,490 10,058 25,145 35,203 50,290 70,406 176,015 352,030

Collatz Trajectory (197 steps to reach 1)

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

352,030 176,015 528,046 264,023 792,070 396,035 1,188,106 594,053 1,782,160 891,080 445,540 222,770 111,385 334,156 167,078 83,539 250,618 125,309 375,928 187,964 93,982 46,991 140,974 70,487 211,462 105,731 317,194 158,597 475,792 237,896 118,948 59,474 29,737 89,212 44,606 22,303 66,910 33,455 100,366 50,183 150,550 75,275 225,826 112,913 338,740 169,370 84,685 254,056 127,028 63,514 31,757 95,272 47,636 23,818 11,909 35,728 17,864 8,932 4,466 2,233

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