λ
Matchaa Zalai

7,346,800

24 × 52 × 18367
Abundant Even Composite

7,346,800 factors as 2^4 × 5^2 × 18367. Its 30 positive divisors give a proper-divisor sum of 10,304,848, so this integer is abundant. The Collatz stopping time is 173 steps.

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Prime Factor Structure

Factorization String 2^4 × 5^2 × 18367
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 17,651,648
Proper Divisor Sum 10,304,848
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7346797 ← → #7346803

Radix Representation

Decimal 7346800
Binary 11100000001101001110000 (23 bits)
Octal 0o34015160
Hexadecimal 0x701A70

Divisor Catalog (5 of 30)

1 2 4 5 8

Collatz Trajectory (173 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.

7,346,800 3,673,400 1,836,700 918,350 459,175

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