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202,608

24 × 33 × 7 × 67
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^3 × 7 × 67
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 674,560
Proper Divisor Sum 471,952
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #202591 ← → #202613

Radix Representation

Decimal 202608
Binary 110001011101110000 (18 bits)
Octal 0o613560
Hexadecimal 0x31770

Divisor Catalog (60 of 80)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 67 72 84 108 112 126 134 144 168 189 201 216 252 268 336 378 402 432 469 504 536 603 756 804 938 1,008 1,072 1,206 1,407 1,512 1,608 1,809 1,876 2,412 2,814 3,024 3,216 3,618

Collatz Trajectory (59 steps to reach 1)

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

202,608 101,304 50,652 25,326 12,663 37,990 18,995 56,986 28,493 85,480 42,740 21,370 10,685 32,056 16,028 8,014 4,007 12,022 6,011 18,034 9,017 27,052 13,526 6,763 20,290 10,145 30,436 15,218 7,609 22,828 11,414 5,707 17,122 8,561 25,684 12,842 6,421 19,264 9,632 4,816 2,408 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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