λ
Integer Codex

403,309

403309
Deficient Odd Prime

For 403,309, the 2 positive divisors have a total of 403,310. Removing 403,309 leaves 1, which gives the deficient classification.

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Prime Factor Structure

Factorization String 403309
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 403,310
Proper Divisor Sum 1
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #403301 ← → #403327

Radix Representation

Decimal 403309
Binary 1100010011101101101 (19 bits)
Octal 0o1423555
Hexadecimal 0x6276D

Divisor Catalog (2)

Collatz Trajectory (161 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.

403,309 1,209,928 604,964 302,482 151,241

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