3³ × 7² × 17 × 23

Prime Factor Structure

Factorization String 3^3 × 7^2 × 17 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 984,960

Proper Divisor Sum 467,667

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #517289 ← → #517303

1 3 7 9 17 21 23 27 49 51 63 69 119 147 153 161 189 207 357 391 441 459 483 621 833 1,071 1,127 1,173 1,323 1,449 2,499 2,737 3,213 3,381 3,519 4,347 7,497 8,211 10,143 10,557 19,159 22,491 24,633 30,429 57,477 73,899 172,431 517,293

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

517,293 1,551,880 775,940 387,970 193,985 581,956 290,978 145,489 436,468 218,234 109,117 327,352 163,676 81,838 40,919 122,758 61,379 184,138 92,069 276,208 138,104 69,052 34,526 17,263 51,790 25,895 77,686 38,843 116,530 58,265 174,796 87,398 43,699 131,098 65,549 196,648 98,324 49,162 24,581 73,744 36,872 18,436 9,218 4,609 13,828 6,914 3,457 10,372 5,186 2,593 7,780 3,890 1,945 5,836 2,918 1,459 4,378 2,189 6,568 3,284

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