λ
Prime Ledger

8,154,080

25 × 5 × 11 × 41 × 113
Abundant Even Composite

8,154,080 has the prime decomposition 2^5 × 5 × 11 × 41 × 113. Its 5 distinct prime factors produce 96 positive divisors.

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Prime Factor Structure

Factorization String 2^5 × 5 × 11 × 41 × 113
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 21,718,368
Proper Divisor Sum 13,564,288
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #8154073 ← → #8154127

Radix Representation

Decimal 8154080
Binary 11111000110101111100000 (23 bits)
Octal 0o37065740
Hexadecimal 0x7C6BE0

Divisor Catalog (5 of 96)

1 2 4 5 8

Collatz Trajectory (106 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.

8,154,080 4,077,040 2,038,520 1,019,260 509,630

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