3⁶ × 19²

Prime Factor Structure

Factorization String 3^6 × 19^2

Distinct Prime Factors 2

Square Status Yes (√263169 = 513)

Abundance Measure Deficient

Analytical Properties

Total Divisors 21

Divisor Sum (σ) 416,433

Proper Divisor Sum 153,264

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #263167 ← → #263171

1 3 9 19 27 57 81 171 243 361 513 729 1,083 1,539 3,249 4,617 9,747 13,851 29,241 87,723 263,169

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

263,169 789,508 394,754 197,377 592,132 296,066 148,033 444,100 222,050 111,025 333,076 166,538 83,269 249,808 124,904 62,452 31,226 15,613 46,840 23,420 11,710 5,855 17,566 8,783 26,350 13,175 39,526 19,763 59,290 29,645 88,936 44,468 22,234 11,117 33,352 16,676 8,338 4,169 12,508 6,254 3,127 9,382 4,691 14,074 7,037 21,112 10,556 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024

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