113²

Prime Factor Structure

Factorization String 113^2

Distinct Prime Factors 1

Square Status Yes (√12769 = 113)

Abundance Measure Deficient

Analytical Properties

Total Divisors 3

Divisor Sum (σ) 12,883

Proper Divisor Sum 114

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #12763 ← → #12781

1 113 12,769

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

12,769 38,308 19,154 9,577 28,732 14,366 7,183 21,550 10,775 32,326 16,163 48,490 24,245 72,736 36,368 18,184 9,092 4,546 2,273 6,820 3,410 1,705 5,116 2,558 1,279 3,838 1,919 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920

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