λ
Match Zalai

3,177,750

2 × 3 × 53 × 19 × 223
Abundant Even Composite

3,177,750 factors as 2 × 3 × 5^3 × 19 × 223. Its 64 positive divisors give a proper-divisor sum of 5,208,810, so this integer is abundant. The Collatz stopping time is 239 steps.

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Prime Factor Structure

Factorization String 2 × 3 × 5^3 × 19 × 223
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 8,386,560
Proper Divisor Sum 5,208,810
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3177739 ← → #3177809

Radix Representation

Decimal 3177750
Binary 1100000111110100010110 (22 bits)
Octal 0o14076426
Hexadecimal 0x307D16

Divisor Catalog (5 of 64)

1 2 3 5 6

Collatz Trajectory (239 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.

3,177,750 1,588,875 4,766,626 2,383,313 7,149,940

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