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4,609,152

27 × 32 × 4001
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 3^2 × 4001
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,266,630
Proper Divisor Sum 8,657,478
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4609133 ← → #4609169

Radix Representation

Decimal 4609152
Binary 10001100101010010000000 (23 bits)
Octal 0o21452200
Hexadecimal 0x465480

Divisor Catalog (48)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1,152 4,001 8,002 12,003 16,004 24,006 32,008 36,009 48,012 64,016 72,018 96,024 128,032 144,036 192,048 256,064 288,072 384,096 512,128 576,144 768,192 1,152,288 1,536,384 2,304,576 4,609,152

Collatz Trajectory (185 steps to reach 1)

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

4,609,152 2,304,576 1,152,288 576,144 288,072 144,036 72,018 36,009 108,028 54,014 27,007 81,022 40,511 121,534 60,767 182,302 91,151 273,454 136,727 410,182 205,091 615,274 307,637 922,912 461,456 230,728 115,364 57,682 28,841 86,524 43,262 21,631 64,894 32,447 97,342 48,671 146,014 73,007 219,022 109,511 328,534 164,267 492,802 246,401 739,204 369,602 184,801 554,404 277,202 138,601 415,804 207,902 103,951 311,854 155,927 467,782 233,891 701,674 350,837 1,052,512

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