λ
Zalai Atlas

8,493,480

23 × 32 × 5 × 23593
Abundant Even Composite

8,493,480 has the prime decomposition 2^3 × 3^2 × 5 × 23593. Its 4 distinct prime factors produce 48 positive divisors.

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Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 23593
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 27,604,980
Proper Divisor Sum 19,111,500
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8493469 ← → #8493487

Radix Representation

Decimal 8493480
Binary 100000011001100110101000 (24 bits)
Octal 0o40314650
Hexadecimal 0x8199A8

Divisor Catalog (5 of 48)

1 2 3 4 5

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.

8,493,480 4,246,740 2,123,370 1,061,685 3,185,056

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