3 × 7² × 11 × 29

Prime Factor Structure

Factorization String 3 × 7^2 × 11 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 82,080

Proper Divisor Sum 35,187

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #46889 ← → #46901

1 3 7 11 21 29 33 49 77 87 147 203 231 319 539 609 957 1,421 1,617 2,233 4,263 6,699 15,631 46,893

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

46,893 140,680 70,340 35,170 17,585 52,756 26,378 13,189 39,568 19,784 9,892 4,946 2,473 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732

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