3³ × 5 × 7 × 23

Prime Factor Structure

Factorization String 3^3 × 5 × 7 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 46,080

Proper Divisor Sum 24,345

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #21727 ← → #21737

1 3 5 7 9 15 21 23 27 35 45 63 69 105 115 135 161 189 207 315 345 483 621 805 945 1,035 1,449 2,415 3,105 4,347 7,245 21,735

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

21,735 65,206 32,603 97,810 48,905 146,716 73,358 36,679 110,038 55,019 165,058 82,529 247,588 123,794 61,897 185,692 92,846 46,423 139,270 69,635 208,906 104,453 313,360 156,680 78,340 39,170 19,585 58,756 29,378 14,689 44,068 22,034 11,017 33,052 16,526 8,263 24,790 12,395 37,186 18,593 55,780 27,890 13,945 41,836 20,918 10,459 31,378 15,689 47,068 23,534 11,767 35,302 17,651 52,954 26,477 79,432 39,716 19,858 9,929 29,788

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