λ
Prime Ledger

4,089,420

22 × 33 × 5 × 7573
Abundant Even Composite

4,089,420 has the prime decomposition 2^2 × 3^3 × 5 × 7573. Its 4 distinct prime factors produce 48 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 7573
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,724,320
Proper Divisor Sum 8,634,900
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4089413 ← → #4089431

Radix Representation

Decimal 4089420
Binary 1111100110011001001100 (22 bits)
Octal 0o17463114
Hexadecimal 0x3E664C

Divisor Catalog (5 of 48)

1 2 3 4 5

Collatz Trajectory (105 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.

4,089,420 2,044,710 1,022,355 3,067,066 1,533,533

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