3 × 5 × 7² × 47

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 47

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 65,664

Proper Divisor Sum 31,119

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #34543 ← → #34549

1 3 5 7 15 21 35 47 49 105 141 147 235 245 329 705 735 987 1,645 2,303 4,935 6,909 11,515 34,545

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

34,545 103,636 51,818 25,909 77,728 38,864 19,432 9,716 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 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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