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17,534,990

2 × 5 × 11 × 17 × 9377
Abundant Even Composite

17,534,990 factors as 2 × 5 × 11 × 17 × 9377. Its 32 positive divisors give a proper-divisor sum of 18,926,674, so this integer is abundant. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 17 × 9377
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 36,461,664
Proper Divisor Sum 18,926,674
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #17534987 ← → #17535059

Radix Representation

Decimal 17534990
Binary 1000010111001000000001110 (25 bits)
Octal 0o102710016
Hexadecimal 0x10B900E

Divisor Catalog (32)

1 2 5 10 11 17 22 34 55 85 110 170 187 374 935 1,870 9,377 18,754 46,885 93,770 103,147 159,409 206,294 318,818 515,735 797,045 1,031,470 1,594,090 1,753,499 3,506,998 8,767,495 17,534,990

Collatz Trajectory (174 steps to reach 1)

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

17,534,990 8,767,495 26,302,486 13,151,243 39,453,730 19,726,865 59,180,596 29,590,298 14,795,149 44,385,448 22,192,724 11,096,362 5,548,181 16,644,544 8,322,272 4,161,136 2,080,568 1,040,284 520,142 260,071 780,214 390,107 1,170,322 585,161 1,755,484 877,742 438,871 1,316,614 658,307 1,974,922 987,461 2,962,384 1,481,192 740,596 370,298 185,149 555,448 277,724 138,862 69,431 208,294 104,147 312,442 156,221 468,664 234,332 117,166 58,583 175,750 87,875 263,626 131,813 395,440 197,720 98,860 49,430 24,715 74,146 37,073 111,220

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