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17,865,610

2 × 5 × 7 × 31 × 8233
Abundant Even Composite

17,865,610 factors as 2 × 5 × 7 × 31 × 8233. Its 32 positive divisors give a proper-divisor sum of 20,076,662, so this integer is abundant. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 31 × 8233
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 37,942,272
Proper Divisor Sum 20,076,662
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #17865607 ← → #17865629

Radix Representation

Decimal 17865610
Binary 1000100001001101110001010 (25 bits)
Octal 0o104115612
Hexadecimal 0x1109B8A

Divisor Catalog (32)

1 2 5 7 10 14 31 35 62 70 155 217 310 434 1,085 2,170 8,233 16,466 41,165 57,631 82,330 115,262 255,223 288,155 510,446 576,310 1,276,115 1,786,561 2,552,230 3,573,122 8,932,805 17,865,610

Collatz Trajectory (120 steps to reach 1)

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

17,865,610 8,932,805 26,798,416 13,399,208 6,699,604 3,349,802 1,674,901 5,024,704 2,512,352 1,256,176 628,088 314,044 157,022 78,511 235,534 117,767 353,302 176,651 529,954 264,977 794,932 397,466 198,733 596,200 298,100 149,050 74,525 223,576 111,788 55,894 27,947 83,842 41,921 125,764 62,882 31,441 94,324 47,162 23,581 70,744 35,372 17,686 8,843 26,530 13,265 39,796 19,898 9,949 29,848 14,924 7,462 3,731 11,194 5,597 16,792 8,396 4,198 2,099 6,298 3,149

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