λ
Match Zalai

8,400,372

22 × 3 × 29 × 101 × 239
Abundant Even Composite

8,400,372 factors as 2^2 × 3 × 29 × 101 × 239. Its 48 positive divisors give a proper-divisor sum of 12,162,828, so this integer is abundant. The Collatz stopping time is 129 steps.

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Prime Factor Structure

Factorization String 2^2 × 3 × 29 × 101 × 239
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,563,200
Proper Divisor Sum 12,162,828
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #8400323 ← → #8400373

Radix Representation

Decimal 8400372
Binary 100000000010110111110100 (24 bits)
Octal 0o40026764
Hexadecimal 0x802DF4

Divisor Catalog (5 of 48)

1 2 3 4 6

Collatz Trajectory (129 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.

8,400,372 4,200,186 2,100,093 6,300,280 3,150,140

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