λ
Match Zalai

3,767,274

2 × 32 × 7 × 29 × 1031
Abundant Even Composite

3,767,274 factors as 2 × 3^2 × 7 × 29 × 1031. Its 48 positive divisors give a proper-divisor sum of 5,892,246, so this integer is abundant. The Collatz stopping time is 110 steps.

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Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 29 × 1031
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,659,520
Proper Divisor Sum 5,892,246
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3767261 ← → #3767297

Radix Representation

Decimal 3767274
Binary 1110010111101111101010 (22 bits)
Octal 0o16275752
Hexadecimal 0x397BEA

Divisor Catalog (5 of 48)

1 2 3 6 7

Collatz Trajectory (110 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.

3,767,274 1,883,637 5,650,912 2,825,456 1,412,728

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