3⁶ × 11²

Prime Factor Structure

Factorization String 3^6 × 11^2

Distinct Prime Factors 2

Square Status Yes (√88209 = 297)

Abundance Measure Deficient

Analytical Properties

Total Divisors 21

Divisor Sum (σ) 145,369

Proper Divisor Sum 57,160

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #88177 ← → #88211

1 3 9 11 27 33 81 99 121 243 297 363 729 891 1,089 2,673 3,267 8,019 9,801 29,403 88,209

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

88,209 264,628 132,314 66,157 198,472 99,236 49,618 24,809 74,428 37,214 18,607 55,822 27,911 83,734 41,867 125,602 62,801 188,404 94,202 47,101 141,304 70,652 35,326 17,663 52,990 26,495 79,486 39,743 119,230 59,615 178,846 89,423 268,270 134,135 402,406 201,203 603,610 301,805 905,416 452,708 226,354 113,177 339,532 169,766 84,883 254,650 127,325 381,976 190,988 95,494 47,747 143,242 71,621 214,864 107,432 53,716 26,858 13,429 40,288 20,144

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