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211,392

26 × 32 × 367
Abundant Even Composite

211,392 factors as 2^6 × 3^2 × 367. Its 42 positive divisors give a proper-divisor sum of 396,176, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^6 × 3^2 × 367
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 42
Divisor Sum (σ) 607,568
Proper Divisor Sum 396,176
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #211373 ← → #211403

Radix Representation

Decimal 211392
Binary 110011100111000000 (18 bits)
Octal 0o634700
Hexadecimal 0x339C0

Divisor Catalog (42)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 367 576 734 1,101 1,468 2,202 2,936 3,303 4,404 5,872 6,606 8,808 11,744 13,212 17,616 23,488 26,424 35,232 52,848 70,464 105,696 211,392

Collatz Trajectory (80 steps to reach 1)

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

211,392 105,696 52,848 26,424 13,212 6,606 3,303 9,910 4,955 14,866 7,433 22,300 11,150 5,575 16,726 8,363 25,090 12,545 37,636 18,818 9,409 28,228 14,114 7,057 21,172 10,586 5,293 15,880 7,940 3,970 1,985 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38

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