3² × 7² × 11²

Prime Factor Structure

Factorization String 3^2 × 7^2 × 11^2

Distinct Prime Factors 3

Square Status Yes (√53361 = 231)

Abundance Measure Deficient

Analytical Properties

Total Divisors 27

Divisor Sum (σ) 98,553

Proper Divisor Sum 45,192

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #53359 ← → #53377

1 3 7 9 11 21 33 49 63 77 99 121 147 231 363 441 539 693 847 1,089 1,617 2,541 4,851 5,929 7,623 17,787 53,361

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

53,361 160,084 80,042 40,021 120,064 60,032 30,016 15,008 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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