3³ × 17² × 53

Prime Factor Structure

Factorization String 3^3 × 17^2 × 53

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 663,120

Proper Divisor Sum 249,561

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #413557 ← → #413579

1 3 9 17 27 51 53 153 159 289 459 477 867 901 1,431 2,601 2,703 7,803 8,109 15,317 24,327 45,951 137,853 413,559

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

413,559 1,240,678 620,339 1,861,018 930,509 2,791,528 1,395,764 697,882 348,941 1,046,824 523,412 261,706 130,853 392,560 196,280 98,140 49,070 24,535 73,606 36,803 110,410 55,205 165,616 82,808 41,404 20,702 10,351 31,054 15,527 46,582 23,291 69,874 34,937 104,812 52,406 26,203 78,610 39,305 117,916 58,958 29,479 88,438 44,219 132,658 66,329 198,988 99,494 49,747 149,242 74,621 223,864 111,932 55,966 27,983 83,950 41,975 125,926 62,963 188,890 94,445

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