222,492

2² × 3 × 18541

Starting at 222,492, the Collatz iteration reaches 1 after 199 steps. The first transition is 111246; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 18541

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 519,176

Proper Divisor Sum 296,684

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #222461 ← → #222493

Radix Representation

Decimal	222492
Binary	110110010100011100 (18 bits)
Octal	0o662434
Hexadecimal	0x3651C

Divisor Catalog (12)

1 2 3 4 6 12 18,541 37,082 55,623 74,164 111,246 222,492

Collatz Trajectory (199 steps to reach 1)

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

222,492 111,246 55,623 166,870 83,435 250,306 125,153 375,460 187,730 93,865 281,596 140,798 70,399 211,198 105,599 316,798 158,399 475,198 237,599 712,798 356,399 1,069,198 534,599 1,603,798 801,899 2,405,698 1,202,849 3,608,548 1,804,274 902,137 2,706,412 1,353,206 676,603 2,029,810 1,014,905 3,044,716 1,522,358 761,179 2,283,538 1,141,769 3,425,308 1,712,654 856,327 2,568,982 1,284,491 3,853,474 1,926,737 5,780,212 2,890,106 1,445,053 4,335,160 2,167,580 1,083,790 541,895 1,625,686 812,843 2,438,530 1,219,265 3,657,796 1,828,898

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