8,238,243

3 × 13² × 16249

8,238,243 has the prime decomposition 3 × 13^2 × 16249. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 13^2 × 16249

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,895,000

Proper Divisor Sum 3,656,757

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8238227 ← → #8238247

Radix Representation

Decimal	8238243
Binary	11111011011010010100011 (23 bits)
Octal	0o37332243
Hexadecimal	0x7DB4A3

Divisor Catalog (12)

1 3 13 39 169 507 16,249 48,747 211,237 633,711 2,746,081 8,238,243

Collatz Trajectory (243 steps to reach 1)

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

8,238,243 24,714,730 12,357,365 37,072,096 18,536,048 9,268,024 4,634,012 2,317,006 1,158,503 3,475,510 1,737,755 5,213,266 2,606,633 7,819,900 3,909,950 1,954,975 5,864,926 2,932,463 8,797,390 4,398,695 13,196,086 6,598,043 19,794,130 9,897,065 29,691,196 14,845,598 7,422,799 22,268,398 11,134,199 33,402,598 16,701,299 50,103,898 25,051,949 75,155,848 37,577,924 18,788,962 9,394,481 28,183,444 14,091,722 7,045,861 21,137,584 10,568,792 5,284,396 2,642,198 1,321,099 3,963,298 1,981,649 5,944,948 2,972,474 1,486,237 4,458,712 2,229,356 1,114,678 557,339 1,672,018 836,009 2,508,028 1,254,014 627,007 1,881,022

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