204,288

2⁹ × 3 × 7 × 19

Prime Factor Structure

Factorization String 2^9 × 3 × 7 × 19

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 654,720

Proper Divisor Sum 450,432

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #204251 ← → #204299

Radix Representation

Decimal	204288
Binary	110001111000000000 (18 bits)
Octal	0o617000
Hexadecimal	0x31E00

Divisor Catalog (60 of 80)

1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 384 399 448 456 512 532 608 672 768 798 896 912 1,064 1,216 1,344 1,536 1,596 1,792 1,824 2,128 2,432 2,688 3,192

Collatz Trajectory (129 steps to reach 1)

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

204,288 102,144 51,072 25,536 12,768 6,384 3,192 1,596 798 399 1,198 599 1,798 899 2,698 1,349 4,048 2,024 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 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

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