180,396

2² × 3² × 5011

180,396 factors as 2^2 × 3^2 × 5011. Its 18 positive divisors give a proper-divisor sum of 275,696, so this integer is abundant. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5011

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 456,092

Proper Divisor Sum 275,696

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #180391 ← → #180413

Radix Representation

Decimal	180396
Binary	101100000010101100 (18 bits)
Octal	0o540254
Hexadecimal	0x2C0AC

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 5,011 10,022 15,033 20,044 30,066 45,099 60,132 90,198 180,396

Collatz Trajectory (209 steps to reach 1)

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

180,396 90,198 45,099 135,298 67,649 202,948 101,474 50,737 152,212 76,106 38,053 114,160 57,080 28,540 14,270 7,135 21,406 10,703 32,110 16,055 48,166 24,083 72,250 36,125 108,376 54,188 27,094 13,547 40,642 20,321 60,964 30,482 15,241 45,724 22,862 11,431 34,294 17,147 51,442 25,721 77,164 38,582 19,291 57,874 28,937 86,812 43,406 21,703 65,110 32,555 97,666 48,833 146,500 73,250 36,625 109,876 54,938 27,469 82,408 41,204

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