3 × 5² × 7 × 193

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 193

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 192,448

Proper Divisor Sum 91,123

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #101323 ← → #101333

1 3 5 7 15 21 25 35 75 105 175 193 525 579 965 1,351 2,895 4,053 4,825 6,755 14,475 20,265 33,775 101,325

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

101,325 303,976 151,988 75,994 37,997 113,992 56,996 28,498 14,249 42,748 21,374 10,687 32,062 16,031 48,094 24,047 72,142 36,071 108,214 54,107 162,322 81,161 243,484 121,742 60,871 182,614 91,307 273,922 136,961 410,884 205,442 102,721 308,164 154,082 77,041 231,124 115,562 57,781 173,344 86,672 43,336 21,668 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146

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