3 × 5 × 13² × 31

Prime Factor Structure

Factorization String 3 × 5 × 13^2 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 140,544

Proper Divisor Sum 61,959

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #78583 ← → #78593

1 3 5 13 15 31 39 65 93 155 169 195 403 465 507 845 1,209 2,015 2,535 5,239 6,045 15,717 26,195 78,585

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

78,585 235,756 117,878 58,939 176,818 88,409 265,228 132,614 66,307 198,922 99,461 298,384 149,192 74,596 37,298 18,649 55,948 27,974 13,987 41,962 20,981 62,944 31,472 15,736 7,868 3,934 1,967 5,902 2,951 8,854 4,427 13,282 6,641 19,924 9,962 4,981 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502

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