3 × 7² × 17 × 41

Prime Factor Structure

Factorization String 3 × 7^2 × 17 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 172,368

Proper Divisor Sum 69,909

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #102451 ← → #102461

1 3 7 17 21 41 49 51 119 123 147 287 357 697 833 861 2,009 2,091 2,499 4,879 6,027 14,637 34,153 102,459

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

102,459 307,378 153,689 461,068 230,534 115,267 345,802 172,901 518,704 259,352 129,676 64,838 32,419 97,258 48,629 145,888 72,944 36,472 18,236 9,118 4,559 13,678 6,839 20,518 10,259 30,778 15,389 46,168 23,084 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109

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