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3,798,752

25 × 17 × 6983
Abundant Even Composite

3,798,752 factors as 2^5 × 17 × 6983. Its 24 positive divisors give a proper-divisor sum of 4,121,104, so this integer is abundant. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^5 × 17 × 6983
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,919,856
Proper Divisor Sum 4,121,104
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #3798737 ← → #3798757

Radix Representation

Decimal 3798752
Binary 1110011111011011100000 (22 bits)
Octal 0o16373340
Hexadecimal 0x39F6E0

Divisor Catalog (24)

1 2 4 8 16 17 32 34 68 136 272 544 6,983 13,966 27,932 55,864 111,728 118,711 223,456 237,422 474,844 949,688 1,899,376 3,798,752

Collatz Trajectory (79 steps to reach 1)

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

3,798,752 1,899,376 949,688 474,844 237,422 118,711 356,134 178,067 534,202 267,101 801,304 400,652 200,326 100,163 300,490 150,245 450,736 225,368 112,684 56,342 28,171 84,514 42,257 126,772 63,386 31,693 95,080 47,540 23,770 11,885 35,656 17,828 8,914 4,457 13,372 6,686 3,343 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596 298 149 448 224 112

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