3² × 11² × 101

Prime Factor Structure

Factorization String 3^2 × 11^2 × 101

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 176,358

Proper Divisor Sum 66,369

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #109987 ← → #110017

1 3 9 11 33 99 101 121 303 363 909 1,089 1,111 3,333 9,999 12,221 36,663 109,989

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

109,989 329,968 164,984 82,492 41,246 20,623 61,870 30,935 92,806 46,403 139,210 69,605 208,816 104,408 52,204 26,102 13,051 39,154 19,577 58,732 29,366 14,683 44,050 22,025 66,076 33,038 16,519 49,558 24,779 74,338 37,169 111,508 55,754 27,877 83,632 41,816 20,908 10,454 5,227 15,682 7,841 23,524 11,762 5,881 17,644 8,822 4,411 13,234 6,617 19,852 9,926 4,963 14,890 7,445 22,336 11,168 5,584 2,792 1,396 698

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