3³ × 5² × 7 × 73

Prime Factor Structure

Factorization String 3^3 × 5^2 × 7 × 73

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 734,080

Proper Divisor Sum 389,155

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #344921 ← → #344941

1 3 5 7 9 15 21 25 27 35 45 63 73 75 105 135 175 189 219 225 315 365 511 525 657 675 945 1,095 1,533 1,575 1,825 1,971 2,555 3,285 4,599 4,725 5,475 7,665 9,855 12,775 13,797 16,425 22,995 38,325 49,275 68,985 114,975 344,925

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

344,925 1,034,776 517,388 258,694 129,347 388,042 194,021 582,064 291,032 145,516 72,758 36,379 109,138 54,569 163,708 81,854 40,927 122,782 61,391 184,174 92,087 276,262 138,131 414,394 207,197 621,592 310,796 155,398 77,699 233,098 116,549 349,648 174,824 87,412 43,706 21,853 65,560 32,780 16,390 8,195 24,586 12,293 36,880 18,440 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297 3,892 1,946 973 2,920 1,460 730 365

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