λ
Prime Ledger

6,225,916

22 × 23 × 31 × 37 × 59
Deficient Even Composite

6,225,916 has the prime decomposition 2^2 × 23 × 31 × 37 × 59. Its 5 distinct prime factors produce 48 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 23 × 31 × 37 × 59
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,257,280
Proper Divisor Sum 6,031,364
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6225899 ← → #6225917

Radix Representation

Decimal 6225916
Binary 10111101111111111111100 (23 bits)
Octal 0o27577774
Hexadecimal 0x5EFFFC

Divisor Catalog (5 of 48)

1 2 4 23 31

Collatz Trajectory (240 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.

6,225,916 3,112,958 1,556,479 4,669,438 2,334,719

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