λ
Match Zalai

3,470,200

23 × 52 × 17351
Abundant Even Composite

3,470,200 factors as 2^3 × 5^2 × 17351. Its 24 positive divisors give a proper-divisor sum of 4,598,480, so this integer is abundant. The Collatz stopping time is 190 steps.

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Prime Factor Structure

Factorization String 2^3 × 5^2 × 17351
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,068,680
Proper Divisor Sum 4,598,480
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #3470191 ← → #3470209

Radix Representation

Decimal 3470200
Binary 1101001111001101111000 (22 bits)
Octal 0o15171570
Hexadecimal 0x34F378

Divisor Catalog (5 of 24)

1 2 4 5 8

Collatz Trajectory (190 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.

3,470,200 1,735,100 867,550 433,775 1,301,326

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