3 × 7² × 17 × 31

Prime Factor Structure

Factorization String 3 × 7^2 × 17 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 131,328

Proper Divisor Sum 53,859

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #77447 ← → #77471

1 3 7 17 21 31 49 51 93 119 147 217 357 527 651 833 1,519 1,581 2,499 3,689 4,557 11,067 25,823 77,469

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

77,469 232,408 116,204 58,102 29,051 87,154 43,577 130,732 65,366 32,683 98,050 49,025 147,076 73,538 36,769 110,308 55,154 27,577 82,732 41,366 20,683 62,050 31,025 93,076 46,538 23,269 69,808 34,904 17,452 8,726 4,363 13,090 6,545 19,636 9,818 4,909 14,728 7,364 3,682 1,841 5,524 2,762 1,381 4,144 2,072 1,036 518 259 778 389 1,168 584 292 146 73 220 110 55 166 83

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