λ
Match Zalai

4,046,730

2 × 3 × 5 × 43 × 3137
Abundant Even Composite

4,046,730 factors as 2 × 3 × 5 × 43 × 3137. Its 32 positive divisors give a proper-divisor sum of 5,894,454, so this integer is abundant. The Collatz stopping time is 185 steps.

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Prime Factor Structure

Factorization String 2 × 3 × 5 × 43 × 3137
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,941,184
Proper Divisor Sum 5,894,454
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4046723 ← → #4046737

Radix Representation

Decimal 4046730
Binary 1111011011111110001010 (22 bits)
Octal 0o17337612
Hexadecimal 0x3DBF8A

Divisor Catalog (5 of 32)

1 2 3 5 6

Collatz Trajectory (185 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.

4,046,730 2,023,365 6,070,096 3,035,048 1,517,524

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