3⁴ × 5 × 7² × 17

Prime Factor Structure

Factorization String 3^4 × 5 × 7^2 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 744,876

Proper Divisor Sum 407,511

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #337361 ← → #337367

1 3 5 7 9 15 17 21 27 35 45 49 51 63 81 85 105 119 135 147 153 189 245 255 315 357 405 441 459 567 595 735 765 833 945 1,071 1,323 1,377 1,785 2,205 2,295 2,499 2,835 3,213 3,969 4,165 5,355 6,615 6,885 7,497 9,639 12,495 16,065 19,845 22,491 37,485 48,195 67,473 112,455 337,365

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

337,365 1,012,096 506,048 253,024 126,512 63,256 31,628 15,814 7,907 23,722 11,861 35,584 17,792 8,896 4,448 2,224 1,112 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

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