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5,286,872

23 × 23 × 59 × 487
Deficient Even Composite

5,286,872 factors as 2^3 × 23 × 59 × 487. Its 32 positive divisors give a proper-divisor sum of 5,253,928, so this integer is deficient. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2^3 × 23 × 59 × 487
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,540,800
Proper Divisor Sum 5,253,928
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #5286871 ← → #5286901

Radix Representation

Decimal 5286872
Binary 10100001010101111011000 (23 bits)
Octal 0o24125730
Hexadecimal 0x50ABD8

Divisor Catalog (32)

1 2 4 8 23 46 59 92 118 184 236 472 487 974 1,357 1,948 2,714 3,896 5,428 10,856 11,201 22,402 28,733 44,804 57,466 89,608 114,932 229,864 660,859 1,321,718 2,643,436 5,286,872

Collatz Trajectory (188 steps to reach 1)

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

5,286,872 2,643,436 1,321,718 660,859 1,982,578 991,289 2,973,868 1,486,934 743,467 2,230,402 1,115,201 3,345,604 1,672,802 836,401 2,509,204 1,254,602 627,301 1,881,904 940,952 470,476 235,238 117,619 352,858 176,429 529,288 264,644 132,322 66,161 198,484 99,242 49,621 148,864 74,432 37,216 18,608 9,304 4,652 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935

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