λ
Prime Ledger

7,444,050

2 × 3 × 52 × 49627
Abundant Even Composite

7,444,050 has the prime decomposition 2 × 3 × 5^2 × 49627. Its 4 distinct prime factors produce 24 positive divisors.

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Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 49627
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,461,616
Proper Divisor Sum 11,017,566
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7444043 ← → #7444069

Radix Representation

Decimal 7444050
Binary 11100011001011001010010 (23 bits)
Octal 0o34313122
Hexadecimal 0x719652

Divisor Catalog (5 of 24)

1 2 3 5 6

Collatz Trajectory (160 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.

7,444,050 3,722,025 11,166,076 5,583,038 2,791,519

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