λ
Prime Ledger

8,398,040

23 × 5 × 7 × 89 × 337
Abundant Even Composite

8,398,040 has the prime decomposition 2^3 × 5 × 7 × 89 × 337. Its 5 distinct prime factors produce 64 positive divisors.

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Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 89 × 337
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 21,902,400
Proper Divisor Sum 13,504,360
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8398021 ← → #8398067

Radix Representation

Decimal 8398040
Binary 100000000010010011011000 (24 bits)
Octal 0o40022330
Hexadecimal 0x8024D8

Divisor Catalog (5 of 64)

1 2 4 5 7

Collatz Trajectory (155 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.

8,398,040 4,199,020 2,099,510 1,049,755 3,149,266

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