218,220

2² × 3 × 5 × 3637

218,220 factors as 2^2 × 3 × 5 × 3637. Its 24 positive divisors give a proper-divisor sum of 392,964, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 3637

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 611,184

Proper Divisor Sum 392,964

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #218213 ← → #218227

Radix Representation

Decimal	218220
Binary	110101010001101100 (18 bits)
Octal	0o652154
Hexadecimal	0x3546C

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 3,637 7,274 10,911 14,548 18,185 21,822 36,370 43,644 54,555 72,740 109,110 218,220

Collatz Trajectory (124 steps to reach 1)

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

218,220 109,110 54,555 163,666 81,833 245,500 122,750 61,375 184,126 92,063 276,190 138,095 414,286 207,143 621,430 310,715 932,146 466,073 1,398,220 699,110 349,555 1,048,666 524,333 1,573,000 786,500 393,250 196,625 589,876 294,938 147,469 442,408 221,204 110,602 55,301 165,904 82,952 41,476 20,738 10,369 31,108 15,554 7,777 23,332 11,666 5,833 17,500 8,750 4,375 13,126 6,563 19,690 9,845 29,536 14,768 7,384 3,692 1,846 923 2,770 1,385

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