2⁶ × 3² × 13²

Prime Factor Structure

Factorization String 2^6 × 3^2 × 13^2

Distinct Prime Factors 3

Square Status Yes (√97344 = 312)

Abundance Measure Abundant

Analytical Properties

Total Divisors 63

Divisor Sum (σ) 302,133

Proper Divisor Sum 204,789

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #97327 ← → #97367

1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 169 192 208 234 288 312 338 416 468 507 576 624 676 832 936 1,014 1,248 1,352 1,521 1,872 2,028 2,496 2,704 3,042 3,744 4,056 5,408 6,084 7,488 8,112 10,816 12,168 16,224 24,336

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

97,344 48,672 24,336 12,168 6,084 3,042 1,521 4,564 2,282 1,141 3,424 1,712 856 428 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638

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