3 × 17² × 101

Prime Factor Structure

Factorization String 3 × 17^2 × 101

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 125,256

Proper Divisor Sum 37,689

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #87559 ← → #87583

1 3 17 51 101 289 303 867 1,717 5,151 29,189 87,567

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

87,567 262,702 131,351 394,054 197,027 591,082 295,541 886,624 443,312 221,656 110,828 55,414 27,707 83,122 41,561 124,684 62,342 31,171 93,514 46,757 140,272 70,136 35,068 17,534 8,767 26,302 13,151 39,454 19,727 59,182 29,591 88,774 44,387 133,162 66,581 199,744 99,872 49,936 24,968 12,484 6,242 3,121 9,364 4,682 2,341 7,024 3,512 1,756 878 439 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557

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