3² × 7³ × 19

Prime Factor Structure

Factorization String 3^2 × 7^3 × 19

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 104,000

Proper Divisor Sum 45,347

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #58631 ← → #58657

1 3 7 9 19 21 49 57 63 133 147 171 343 399 441 931 1,029 1,197 2,793 3,087 6,517 8,379 19,551 58,653

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

58,653 175,960 87,980 43,990 21,995 65,986 32,993 98,980 49,490 24,745 74,236 37,118 18,559 55,678 27,839 83,518 41,759 125,278 62,639 187,918 93,959 281,878 140,939 422,818 211,409 634,228 317,114 158,557 475,672 237,836 118,918 59,459 178,378 89,189 267,568 133,784 66,892 33,446 16,723 50,170 25,085 75,256 37,628 18,814 9,407 28,222 14,111 42,334 21,167 63,502 31,751 95,254 47,627 142,882 71,441 214,324 107,162 53,581 160,744 80,372

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