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382,008

23 × 3 × 11 × 1447
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 1447
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,042,560
Proper Divisor Sum 660,552
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #382003 ← → #382021

Radix Representation

Decimal 382008
Binary 1011101010000111000 (19 bits)
Octal 0o1352070
Hexadecimal 0x5D438

Divisor Catalog (32)

1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1,447 2,894 4,341 5,788 8,682 11,576 15,917 17,364 31,834 34,728 47,751 63,668 95,502 127,336 191,004 382,008

Collatz Trajectory (148 steps to reach 1)

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

382,008 191,004 95,502 47,751 143,254 71,627 214,882 107,441 322,324 161,162 80,581 241,744 120,872 60,436 30,218 15,109 45,328 22,664 11,332 5,666 2,833 8,500 4,250 2,125 6,376 3,188 1,594 797 2,392 1,196 598 299 898 449 1,348 674 337 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

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