3⁴ × 5² × 19

Prime Factor Structure

Factorization String 3^4 × 5^2 × 19

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 30

Divisor Sum (σ) 75,020

Proper Divisor Sum 36,545

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #38461 ← → #38501

1 3 5 9 15 19 25 27 45 57 75 81 95 135 171 225 285 405 475 513 675 855 1,425 1,539 2,025 2,565 4,275 7,695 12,825 38,475

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

38,475 115,426 57,713 173,140 86,570 43,285 129,856 64,928 32,464 16,232 8,116 4,058 2,029 6,088 3,044 1,522 761 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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