5² × 23²

Prime Factor Structure

Factorization String 5^2 × 23^2

Distinct Prime Factors 2

Square Status Yes (√13225 = 115)

Abundance Measure Deficient

Analytical Properties

Total Divisors 9

Divisor Sum (σ) 17,143

Proper Divisor Sum 3,918

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #13219 ← → #13229

1 5 23 25 115 529 575 2,645 13,225

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

13,225 39,676 19,838 9,919 29,758 14,879 44,638 22,319 66,958 33,479 100,438 50,219 150,658 75,329 225,988 112,994 56,497 169,492 84,746 42,373 127,120 63,560 31,780 15,890 7,945 23,836 11,918 5,959 17,878 8,939 26,818 13,409 40,228 20,114 10,057 30,172 15,086 7,543 22,630 11,315 33,946 16,973 50,920 25,460 12,730 6,365 19,096 9,548 4,774 2,387 7,162 3,581 10,744 5,372 2,686 1,343 4,030 2,015 6,046 3,023

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