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67,662

2 × 33 × 7 × 179
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 179
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 172,800
Proper Divisor Sum 105,138
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #67651 ← → #67679

Radix Representation

Decimal 67662
Binary 10000100001001110 (17 bits)
Octal 0o204116
Hexadecimal 0x1084E

Divisor Catalog (32)

1 2 3 6 7 9 14 18 21 27 42 54 63 126 179 189 358 378 537 1,074 1,253 1,611 2,506 3,222 3,759 4,833 7,518 9,666 11,277 22,554 33,831 67,662

Collatz Trajectory (68 steps to reach 1)

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

67,662 33,831 101,494 50,747 152,242 76,121 228,364 114,182 57,091 171,274 85,637 256,912 128,456 64,228 32,114 16,057 48,172 24,086 12,043 36,130 18,065 54,196 27,098 13,549 40,648 20,324 10,162 5,081 15,244 7,622 3,811 11,434 5,717 17,152 8,576 4,288 2,144 1,072 536 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13

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