2² × 3 × 5³ × 23

Prime Factor Structure

Factorization String 2^2 × 3 × 5^3 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 104,832

Proper Divisor Sum 70,332

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #34499 ← → #34501

1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 125 138 150 230 250 276 300 345 375 460 500 575 690 750 1,150 1,380 1,500 1,725 2,300 2,875 3,450 5,750 6,900 8,625 11,500 17,250 34,500

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

34,500 17,250 8,625 25,876 12,938 6,469 19,408 9,704 4,852 2,426 1,213 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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