3² × 5² × 7 × 31

Prime Factor Structure

Factorization String 3^2 × 5^2 × 7 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 103,168

Proper Divisor Sum 54,343

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #48823 ← → #48847

1 3 5 7 9 15 21 25 31 35 45 63 75 93 105 155 175 217 225 279 315 465 525 651 775 1,085 1,395 1,575 1,953 2,325 3,255 5,425 6,975 9,765 16,275 48,825

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

48,825 146,476 73,238 36,619 109,858 54,929 164,788 82,394 41,197 123,592 61,796 30,898 15,449 46,348 23,174 11,587 34,762 17,381 52,144 26,072 13,036 6,518 3,259 9,778 4,889 14,668 7,334 3,667 11,002 5,501 16,504 8,252 4,126 2,063 6,190 3,095 9,286 4,643 13,930 6,965 20,896 10,448 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53

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