λ
Match Zalai

3,054,702

2 × 3 × 7 × 257 × 283
Abundant Even Composite

3,054,702 factors as 2 × 3 × 7 × 257 × 283. Its 32 positive divisors give a proper-divisor sum of 3,979,410, so this integer is abundant. The Collatz stopping time is 319 steps.

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Prime Factor Structure

Factorization String 2 × 3 × 7 × 257 × 283
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,034,112
Proper Divisor Sum 3,979,410
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3054691 ← → #3054703

Radix Representation

Decimal 3054702
Binary 1011101001110001101110 (22 bits)
Octal 0o13516156
Hexadecimal 0x2E9C6E

Divisor Catalog (5 of 32)

1 2 3 6 7

Collatz Trajectory (319 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

3,054,702 1,527,351 4,582,054 2,291,027 6,873,082

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