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17,687,648

25 × 11 × 109 × 461
Abundant Even Composite

17,687,648 factors as 2^5 × 11 × 109 × 461. Its 48 positive divisors give a proper-divisor sum of 20,732,272, so this integer is abundant. The Collatz stopping time is 76 steps.

Prime Factor Structure

Factorization String 2^5 × 11 × 109 × 461
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 38,419,920
Proper Divisor Sum 20,732,272
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #17687629 ← → #17687653

Radix Representation

Decimal 17687648
Binary 1000011011110010001100000 (25 bits)
Octal 0o103362140
Hexadecimal 0x10DE460

Divisor Catalog (48)

1 2 4 8 11 16 22 32 44 88 109 176 218 352 436 461 872 922 1,199 1,744 1,844 2,398 3,488 3,688 4,796 5,071 7,376 9,592 10,142 14,752 19,184 20,284 38,368 40,568 50,249 81,136 100,498 162,272 200,996 401,992 552,739 803,984 1,105,478 1,607,968 2,210,956 4,421,912 8,843,824 17,687,648

Collatz Trajectory (76 steps to reach 1)

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

17,687,648 8,843,824 4,421,912 2,210,956 1,105,478 552,739 1,658,218 829,109 2,487,328 1,243,664 621,832 310,916 155,458 77,729 233,188 116,594 58,297 174,892 87,446 43,723 131,170 65,585 196,756 98,378 49,189 147,568 73,784 36,892 18,446 9,223 27,670 13,835 41,506 20,753 62,260 31,130 15,565 46,696 23,348 11,674 5,837 17,512 8,756 4,378 2,189 6,568 3,284 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88

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