3² × 7² × 13²

Prime Factor Structure

Factorization String 3^2 × 7^2 × 13^2

Distinct Prime Factors 3

Square Status Yes (√74529 = 273)

Abundance Measure Deficient

Analytical Properties

Total Divisors 27

Divisor Sum (σ) 135,603

Proper Divisor Sum 61,074

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #74527 ← → #74531

1 3 7 9 13 21 39 49 63 91 117 147 169 273 441 507 637 819 1,183 1,521 1,911 3,549 5,733 8,281 10,647 24,843 74,529

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

74,529 223,588 111,794 55,897 167,692 83,846 41,923 125,770 62,885 188,656 94,328 47,164 23,582 11,791 35,374 17,687 53,062 26,531 79,594 39,797 119,392 59,696 29,848 14,924 7,462 3,731 11,194 5,597 16,792 8,396 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476

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