3³ × 5 × 7 × 331

Prime Factor Structure

Factorization String 3^3 × 5 × 7 × 331

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 637,440

Proper Divisor Sum 324,645

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #312779 ← → #312799

1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 331 945 993 1,655 2,317 2,979 4,965 6,951 8,937 11,585 14,895 20,853 34,755 44,685 62,559 104,265 312,795

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

312,795 938,386 469,193 1,407,580 703,790 351,895 1,055,686 527,843 1,583,530 791,765 2,375,296 1,187,648 593,824 296,912 148,456 74,228 37,114 18,557 55,672 27,836 13,918 6,959 20,878 10,439 31,318 15,659 46,978 23,489 70,468 35,234 17,617 52,852 26,426 13,213 39,640 19,820 9,910 4,955 14,866 7,433 22,300 11,150 5,575 16,726 8,363 25,090 12,545 37,636 18,818 9,409 28,228 14,114 7,057 21,172 10,586 5,293 15,880 7,940 3,970 1,985

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