λ
Ratio Atlas

3,293,028

22 × 33 × 30491
Abundant Even Composite

3,293,028 factors as 2^2 × 3^3 × 30491. Its 24 positive divisors give a proper-divisor sum of 5,244,732, so this integer is abundant. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 30491
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,537,760
Proper Divisor Sum 5,244,732
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3293021 ← → #3293029

Radix Representation

Decimal 3293028
Binary 1100100011111101100100 (22 bits)
Octal 0o14437544
Hexadecimal 0x323F64

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 30,491 60,982 91,473 121,964 182,946 274,419 365,892 548,838 823,257 1,097,676 1,646,514 3,293,028

Collatz Trajectory (133 steps to reach 1)

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

3,293,028 1,646,514 823,257 2,469,772 1,234,886 617,443 1,852,330 926,165 2,778,496 1,389,248 694,624 347,312 173,656 86,828 43,414 21,707 65,122 32,561 97,684 48,842 24,421 73,264 36,632 18,316 9,158 4,579 13,738 6,869 20,608 10,304 5,152 2,576 1,288 644 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593

More profiles

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