211,310

2 × 5 × 11 × 17 × 113

211,310 factors as 2 × 5 × 11 × 17 × 113. Its 32 positive divisors give a proper-divisor sum of 231,922, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 17 × 113

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 443,232

Proper Divisor Sum 231,922

Digit Sum / Digital Root 8 (Root: 8)

Adjacent Primes #211297 ← → #211313

Radix Representation

Decimal	211310
Binary	110011100101101110 (18 bits)
Octal	0o634556
Hexadecimal	0x3396E

Divisor Catalog (32)

1 2 5 10 11 17 22 34 55 85 110 113 170 187 226 374 565 935 1,130 1,243 1,870 1,921 2,486 3,842 6,215 9,605 12,430 19,210 21,131 42,262 105,655 211,310

Collatz Trajectory (129 steps to reach 1)

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

211,310 105,655 316,966 158,483 475,450 237,725 713,176 356,588 178,294 89,147 267,442 133,721 401,164 200,582 100,291 300,874 150,437 451,312 225,656 112,828 56,414 28,207 84,622 42,311 126,934 63,467 190,402 95,201 285,604 142,802 71,401 214,204 107,102 53,551 160,654 80,327 240,982 120,491 361,474 180,737 542,212 271,106 135,553 406,660 203,330 101,665 304,996 152,498 76,249 228,748 114,374 57,187 171,562 85,781 257,344 128,672 64,336 32,168 16,084 8,042

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