λ
Match Zalai

9,429,280

25 × 5 × 7 × 8419
Abundant Even Composite

9,429,280 factors as 2^5 × 5 × 7 × 8419. Its 48 positive divisors give a proper-divisor sum of 16,032,800, so this integer is abundant. The Collatz stopping time is 75 steps.

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Prime Factor Structure

Factorization String 2^5 × 5 × 7 × 8419
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 25,462,080
Proper Divisor Sum 16,032,800
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9429269 ← → #9429289

Radix Representation

Decimal 9429280
Binary 100011111110000100100000 (24 bits)
Octal 0o43760440
Hexadecimal 0x8FE120

Divisor Catalog (5 of 48)

1 2 4 5 7

Collatz Trajectory (75 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.

9,429,280 4,714,640 2,357,320 1,178,660 589,330

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