λ
Matchaa Zalai

8,409,948

22 × 3 × 61 × 11489
Abundant Even Composite

8,409,948 factors as 2^2 × 3 × 61 × 11489. Its 24 positive divisors give a proper-divisor sum of 11,536,692, so this integer is abundant. The Collatz stopping time is 181 steps.

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Prime Factor Structure

Factorization String 2^2 × 3 × 61 × 11489
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 19,946,640
Proper Divisor Sum 11,536,692
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8409941 ← → #8410001

Radix Representation

Decimal 8409948
Binary 100000000101001101011100 (24 bits)
Octal 0o40051534
Hexadecimal 0x80535C

Divisor Catalog (5 of 24)

1 2 3 4 6

Collatz Trajectory (181 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.

8,409,948 4,204,974 2,102,487 6,307,462 3,153,731

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