220,098

2 × 3 × 36683

220,098 factors as 2 × 3 × 36683. Its 8 positive divisors give a proper-divisor sum of 220,110, so this integer is abundant. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2 × 3 × 36683

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 440,208

Proper Divisor Sum 220,110

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #220063 ← → #220123

Radix Representation

Decimal	220098
Binary	110101101111000010 (18 bits)
Octal	0o655702
Hexadecimal	0x35BC2

Divisor Catalog (8)

1 2 3 6 36,683 73,366 110,049 220,098

Collatz Trajectory (186 steps to reach 1)

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

220,098 110,049 330,148 165,074 82,537 247,612 123,806 61,903 185,710 92,855 278,566 139,283 417,850 208,925 626,776 313,388 156,694 78,347 235,042 117,521 352,564 176,282 88,141 264,424 132,212 66,106 33,053 99,160 49,580 24,790 12,395 37,186 18,593 55,780 27,890 13,945 41,836 20,918 10,459 31,378 15,689 47,068 23,534 11,767 35,302 17,651 52,954 26,477 79,432 39,716 19,858 9,929 29,788 14,894 7,447 22,342 11,171 33,514 16,757 50,272

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