3 × 5³ × 7 × 17

Prime Factor Structure

Factorization String 3 × 5^3 × 7 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 89,856

Proper Divisor Sum 45,231

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #44623 ← → #44633

1 3 5 7 15 17 21 25 35 51 75 85 105 119 125 175 255 357 375 425 525 595 875 1,275 1,785 2,125 2,625 2,975 6,375 8,925 14,875 44,625

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

44,625 133,876 66,938 33,469 100,408 50,204 25,102 12,551 37,654 18,827 56,482 28,241 84,724 42,362 21,181 63,544 31,772 15,886 7,943 23,830 11,915 35,746 17,873 53,620 26,810 13,405 40,216 20,108 10,054 5,027 15,082 7,541 22,624 11,312 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286

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