λ
Match Zalai

8,672,484

22 × 3 × 41 × 17627
Abundant Even Composite

8,672,484 factors as 2^2 × 3 × 41 × 17627. Its 24 positive divisors give a proper-divisor sum of 12,058,044, so this integer is abundant. The Collatz stopping time is 150 steps.

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Prime Factor Structure

Factorization String 2^2 × 3 × 41 × 17627
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 20,730,528
Proper Divisor Sum 12,058,044
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8672483 ← → #8672501

Radix Representation

Decimal 8672484
Binary 100001000101010011100100 (24 bits)
Octal 0o41052344
Hexadecimal 0x8454E4

Divisor Catalog (5 of 24)

1 2 3 4 6

Collatz Trajectory (150 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.

8,672,484 4,336,242 2,168,121 6,504,364 3,252,182

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