λ
Integer Codex

7,222,509

32 × 7 × 114643
Deficient Odd Composite

For 7,222,509, the 12 positive divisors have a total of 11,922,976. Removing 7,222,509 leaves 4,700,467, which gives the deficient classification.

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Prime Factor Structure

Factorization String 3^2 × 7 × 114643
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,922,976
Proper Divisor Sum 4,700,467
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7222507 ← → #7222517

Radix Representation

Decimal 7222509
Binary 11011100011010011101101 (23 bits)
Octal 0o33432355
Hexadecimal 0x6E34ED

Divisor Catalog (5 of 12)

1 3 7 9 21

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.

7,222,509 21,667,528 10,833,764 5,416,882 2,708,441

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