3² × 7² × 23²

Prime Factor Structure

Factorization String 3^2 × 7^2 × 23^2

Distinct Prime Factors 3

Square Status Yes (√233289 = 483)

Abundance Measure Deficient

Analytical Properties

Total Divisors 27

Divisor Sum (σ) 409,773

Proper Divisor Sum 176,484

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #233279 ← → #233293

1 3 7 9 21 23 49 63 69 147 161 207 441 483 529 1,127 1,449 1,587 3,381 3,703 4,761 10,143 11,109 25,921 33,327 77,763 233,289

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

233,289 699,868 349,934 174,967 524,902 262,451 787,354 393,677 1,181,032 590,516 295,258 147,629 442,888 221,444 110,722 55,361 166,084 83,042 41,521 124,564 62,282 31,141 93,424 46,712 23,356 11,678 5,839 17,518 8,759 26,278 13,139 39,418 19,709 59,128 29,564 14,782 7,391 22,174 11,087 33,262 16,631 49,894 24,947 74,842 37,421 112,264 56,132 28,066 14,033 42,100 21,050 10,525 31,576 15,788 7,894 3,947 11,842 5,921 17,764 8,882

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