2 × 3⁵ × 13²

Prime Factor Structure

Factorization String 2 × 3^5 × 13^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 199,836

Proper Divisor Sum 117,702

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #82129 ← → #82139

1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 169 234 243 338 351 486 507 702 1,014 1,053 1,521 2,106 3,042 3,159 4,563 6,318 9,126 13,689 27,378 41,067 82,134

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

82,134 41,067 123,202 61,601 184,804 92,402 46,201 138,604 69,302 34,651 103,954 51,977 155,932 77,966 38,983 116,950 58,475 175,426 87,713 263,140 131,570 65,785 197,356 98,678 49,339 148,018 74,009 222,028 111,014 55,507 166,522 83,261 249,784 124,892 62,446 31,223 93,670 46,835 140,506 70,253 210,760 105,380 52,690 26,345 79,036 39,518 19,759 59,278 29,639 88,918 44,459 133,378 66,689 200,068 100,034 50,017 150,052 75,026 37,513 112,540

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