λ
Prime Ledger

8,646,976

26 × 13 × 19 × 547
Abundant Even Composite

8,646,976 has the prime decomposition 2^6 × 13 × 19 × 547. Its 4 distinct prime factors produce 56 positive divisors.

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Prime Factor Structure

Factorization String 2^6 × 13 × 19 × 547
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 19,486,880
Proper Divisor Sum 10,839,904
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #8646971 ← → #8647007

Radix Representation

Decimal 8646976
Binary 100000111111000101000000 (24 bits)
Octal 0o40770500
Hexadecimal 0x83F140

Divisor Catalog (5 of 56)

1 2 4 8 13

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.

8,646,976 4,323,488 2,161,744 1,080,872 540,436

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