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211,332

22 × 3 × 11 × 1601
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 1601
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 538,272
Proper Divisor Sum 326,940
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #211319 ← → #211333

Radix Representation

Decimal 211332
Binary 110011100110000100 (18 bits)
Octal 0o634604
Hexadecimal 0x33984

Divisor Catalog (24)

1 2 3 4 6 11 12 22 33 44 66 132 1,601 3,202 4,803 6,404 9,606 17,611 19,212 35,222 52,833 70,444 105,666 211,332

Collatz Trajectory (80 steps to reach 1)

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

211,332 105,666 52,833 158,500 79,250 39,625 118,876 59,438 29,719 89,158 44,579 133,738 66,869 200,608 100,304 50,152 25,076 12,538 6,269 18,808 9,404 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38

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