3² × 5 × 7² × 37

Prime Factor Structure

Factorization String 3^2 × 5 × 7^2 × 37

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 168,948

Proper Divisor Sum 87,363

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #81569 ← → #81611

1 3 5 7 9 15 21 35 37 45 49 63 105 111 147 185 245 259 315 333 441 555 735 777 1,295 1,665 1,813 2,205 2,331 3,885 5,439 9,065 11,655 16,317 27,195 81,585

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

81,585 244,756 122,378 61,189 183,568 91,784 45,892 22,946 11,473 34,420 17,210 8,605 25,816 12,908 6,454 3,227 9,682 4,841 14,524 7,262 3,631 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455 52,366 26,183 78,550 39,275 117,826 58,913 176,740 88,370 44,185 132,556 66,278 33,139 99,418 49,709 149,128 74,564 37,282 18,641

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