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466,128

24 × 33 × 13 × 83
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^3 × 13 × 83
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 1,458,240
Proper Divisor Sum 992,112
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #466121 ← → #466139

Radix Representation

Decimal 466128
Binary 1110001110011010000 (19 bits)
Octal 0o1616320
Hexadecimal 0x71CD0

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 83 104 108 117 144 156 166 208 216 234 249 312 332 351 432 468 498 624 664 702 747 936 996 1,079 1,328 1,404 1,494 1,872 1,992 2,158 2,241 2,808 2,988 3,237 3,984 4,316 4,482 5,616 5,976

Collatz Trajectory (125 steps to reach 1)

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

466,128 233,064 116,532 58,266 29,133 87,400 43,700 21,850 10,925 32,776 16,388 8,194 4,097 12,292 6,146 3,073 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502

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