2⁴ × 3² × 31²

Prime Factor Structure

Factorization String 2^4 × 3^2 × 31^2

Distinct Prime Factors 3

Square Status Yes (√138384 = 372)

Abundance Measure Abundant

Analytical Properties

Total Divisors 45

Divisor Sum (σ) 400,179

Proper Divisor Sum 261,795

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #138373 ← → #138389

1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 961 1,116 1,488 1,922 2,232 2,883 3,844 4,464 5,766 7,688 8,649 11,532 15,376 17,298 23,064 34,596 46,128 69,192 138,384

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

138,384 69,192 34,596 17,298 8,649 25,948 12,974 6,487 19,462 9,731 29,194 14,597 43,792 21,896 10,948 5,474 2,737 8,212 4,106 2,053 6,160 3,080 1,540 770 385 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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