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17,510,768

24 × 11 × 37 × 2689
Abundant Even Composite

17,510,768 factors as 2^4 × 11 × 37 × 2689. Its 40 positive divisors give a proper-divisor sum of 20,515,072, so this integer is abundant. The Collatz stopping time is 213 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 37 × 2689
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 38,025,840
Proper Divisor Sum 20,515,072
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #17510767 ← → #17510777

Radix Representation

Decimal 17510768
Binary 1000010110011000101110000 (25 bits)
Octal 0o102630560
Hexadecimal 0x10B3170

Divisor Catalog (40)

1 2 4 8 11 16 22 37 44 74 88 148 176 296 407 592 814 1,628 2,689 3,256 5,378 6,512 10,756 21,512 29,579 43,024 59,158 99,493 118,316 198,986 236,632 397,972 473,264 795,944 1,094,423 1,591,888 2,188,846 4,377,692 8,755,384 17,510,768

Collatz Trajectory (213 steps to reach 1)

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

17,510,768 8,755,384 4,377,692 2,188,846 1,094,423 3,283,270 1,641,635 4,924,906 2,462,453 7,387,360 3,693,680 1,846,840 923,420 461,710 230,855 692,566 346,283 1,038,850 519,425 1,558,276 779,138 389,569 1,168,708 584,354 292,177 876,532 438,266 219,133 657,400 328,700 164,350 82,175 246,526 123,263 369,790 184,895 554,686 277,343 832,030 416,015 1,248,046 624,023 1,872,070 936,035 2,808,106 1,404,053 4,212,160 2,106,080 1,053,040 526,520 263,260 131,630 65,815 197,446 98,723 296,170 148,085 444,256 222,128 111,064

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