13,921,882

2 × 13² × 41189

13,921,882 factors as 2 × 13^2 × 41189. Its 12 positive divisors give a proper-divisor sum of 8,691,428, so this integer is deficient. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2 × 13^2 × 41189

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 22,613,310

Proper Divisor Sum 8,691,428

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #13921871 ← → #13921891

Radix Representation

Decimal	13921882
Binary	110101000110111001011010 (24 bits)
Octal	0o65067132
Hexadecimal	0xD46E5A

Divisor Catalog (12)

1 2 13 26 169 338 41,189 82,378 535,457 1,070,914 6,960,941 13,921,882

Collatz Trajectory (161 steps to reach 1)

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

13,921,882 6,960,941 20,882,824 10,441,412 5,220,706 2,610,353 7,831,060 3,915,530 1,957,765 5,873,296 2,936,648 1,468,324 734,162 367,081 1,101,244 550,622 275,311 825,934 412,967 1,238,902 619,451 1,858,354 929,177 2,787,532 1,393,766 696,883 2,090,650 1,045,325 3,135,976 1,567,988 783,994 391,997 1,175,992 587,996 293,998 146,999 440,998 220,499 661,498 330,749 992,248 496,124 248,062 124,031 372,094 186,047 558,142 279,071 837,214 418,607 1,255,822 627,911 1,883,734 941,867 2,825,602 1,412,801 4,238,404 2,119,202 1,059,601 3,178,804

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