2³ × 3 × 11² × 13

Prime Factor Structure

Factorization String 2^3 × 3 × 11^2 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 111,720

Proper Divisor Sum 73,968

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #37747 ← → #37781

1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 121 132 143 156 242 264 286 312 363 429 484 572 726 858 968 1,144 1,452 1,573 1,716 2,904 3,146 3,432 4,719 6,292 9,438 12,584 18,876 37,752

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

37,752 18,876 9,438 4,719 14,158 7,079 21,238 10,619 31,858 15,929 47,788 23,894 11,947 35,842 17,921 53,764 26,882 13,441 40,324 20,162 10,081 30,244 15,122 7,561 22,684 11,342 5,671 17,014 8,507 25,522 12,761 38,284 19,142 9,571 28,714 14,357 43,072 21,536 10,768 5,384 2,692 1,346 673 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444

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