λ
Prime Ledger

7,224,009

3 × 13 × 19 × 9749
Deficient Odd Composite

7,224,009 has the prime decomposition 3 × 13 × 19 × 9749. Its 4 distinct prime factors produce 16 positive divisors.

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Prime Factor Structure

Factorization String 3 × 13 × 19 × 9749
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,920,000
Proper Divisor Sum 3,695,991
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7223999 ← → #7224029

Radix Representation

Decimal 7224009
Binary 11011100011101011001001 (23 bits)
Octal 0o33435311
Hexadecimal 0x6E3AC9

Divisor Catalog (5 of 16)

1 3 13 19 39

Collatz Trajectory (142 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.

7,224,009 21,672,028 10,836,014 5,418,007 16,254,022

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