24,192

2⁷ × 3³ × 7

Prime Factor Structure

Factorization String 2^7 × 3^3 × 7

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 81,600

Proper Divisor Sum 57,408

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #24181 ← → #24197

Radix Representation

Decimal	24192
Binary	101111010000000 (15 bits)
Octal	0o57200
Hexadecimal	0x5E80

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1,008 1,152 1,344 1,512 1,728 2,016 2,688 3,024 3,456 4,032

Collatz Trajectory (113 steps to reach 1)

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

24,192 12,096 6,048 3,024 1,512 756 378 189 568 284 142 71 214 107 322 161 484 242 121 364 182 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 1,276 638 319 958

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