3³ × 5 × 7 × 37

Prime Factor Structure

Factorization String 3^3 × 5 × 7 × 37

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 72,960

Proper Divisor Sum 37,995

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #34963 ← → #34981

1 3 5 7 9 15 21 27 35 37 45 63 105 111 135 185 189 259 315 333 555 777 945 999 1,295 1,665 2,331 3,885 4,995 6,993 11,655 34,965

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

34,965 104,896 52,448 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970 31,985 95,956 47,978

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