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20,105,104

24 × 233 × 5393
Deficient Even Composite

20,105,104 factors as 2^4 × 233 × 5393. Its 20 positive divisors give a proper-divisor sum of 19,022,972, so this integer is deficient. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^4 × 233 × 5393
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 39,128,076
Proper Divisor Sum 19,022,972
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #20105089 ← → #20105117

Radix Representation

Decimal 20105104
Binary 1001100101100011110010000 (25 bits)
Octal 0o114543620
Hexadecimal 0x132C790

Divisor Catalog (20)

1 2 4 8 16 233 466 932 1,864 3,728 5,393 10,786 21,572 43,144 86,288 1,256,569 2,513,138 5,026,276 10,052,552 20,105,104

Collatz Trajectory (115 steps to reach 1)

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

20,105,104 10,052,552 5,026,276 2,513,138 1,256,569 3,769,708 1,884,854 942,427 2,827,282 1,413,641 4,240,924 2,120,462 1,060,231 3,180,694 1,590,347 4,771,042 2,385,521 7,156,564 3,578,282 1,789,141 5,367,424 2,683,712 1,341,856 670,928 335,464 167,732 83,866 41,933 125,800 62,900 31,450 15,725 47,176 23,588 11,794 5,897 17,692 8,846 4,423 13,270 6,635 19,906 9,953 29,860 14,930 7,465 22,396 11,198 5,599 16,798 8,399 25,198 12,599 37,798 18,899 56,698 28,349 85,048 42,524 21,262

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