3³ × 5 × 31²

Prime Factor Structure

Factorization String 3^3 × 5 × 31^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 238,320

Proper Divisor Sum 108,585

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #129733 ← → #129737

1 3 5 9 15 27 31 45 93 135 155 279 465 837 961 1,395 2,883 4,185 4,805 8,649 14,415 25,947 43,245 129,735

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

129,735 389,206 194,603 583,810 291,905 875,716 437,858 218,929 656,788 328,394 164,197 492,592 246,296 123,148 61,574 30,787 92,362 46,181 138,544 69,272 34,636 17,318 8,659 25,978 12,989 38,968 19,484 9,742 4,871 14,614 7,307 21,922 10,961 32,884 16,442 8,221 24,664 12,332 6,166 3,083 9,250 4,625 13,876 6,938 3,469 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244 122 61 184 92 46 23

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