λ
Prime Ledger

8,290,612

22 × 11 × 19 × 47 × 211
Abundant Even Composite

8,290,612 has the prime decomposition 2^2 × 11 × 19 × 47 × 211. Its 5 distinct prime factors produce 48 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 11 × 19 × 47 × 211
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,095,680
Proper Divisor Sum 8,805,068
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8290591 ← → #8290613

Radix Representation

Decimal 8290612
Binary 11111101000000100110100 (23 bits)
Octal 0o37500464
Hexadecimal 0x7E8134

Divisor Catalog (5 of 48)

1 2 4 11 19

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.

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