3,333,294

2 × 3² × 185183

3,333,294 factors as 2 × 3^2 × 185183. Its 12 positive divisors give a proper-divisor sum of 3,888,882, so this integer is abundant. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 185183

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,222,176

Proper Divisor Sum 3,888,882

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3333283 ← → #3333301

Radix Representation

Decimal	3333294
Binary	1100101101110010101110 (22 bits)
Octal	0o14556256
Hexadecimal	0x32DCAE

Divisor Catalog (12)

1 2 3 6 9 18 185,183 370,366 555,549 1,111,098 1,666,647 3,333,294

Collatz Trajectory (177 steps to reach 1)

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

3,333,294 1,666,647 4,999,942 2,499,971 7,499,914 3,749,957 11,249,872 5,624,936 2,812,468 1,406,234 703,117 2,109,352 1,054,676 527,338 263,669 791,008 395,504 197,752 98,876 49,438 24,719 74,158 37,079 111,238 55,619 166,858 83,429 250,288 125,144 62,572 31,286 15,643 46,930 23,465 70,396 35,198 17,599 52,798 26,399 79,198 39,599 118,798 59,399 178,198 89,099 267,298 133,649 400,948 200,474 100,237 300,712 150,356 75,178 37,589 112,768 56,384 28,192 14,096 7,048 3,524

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