λ
Integer Codex

421,209

32 × 17 × 2753
Deficient Odd Composite

For 421,209, the 12 positive divisors have a total of 644,436. Removing 421,209 leaves 223,227, which gives the deficient classification.

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Prime Factor Structure

Factorization String 3^2 × 17 × 2753
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 644,436
Proper Divisor Sum 223,227
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #421207 ← → #421241

Radix Representation

Decimal 421209
Binary 1100110110101011001 (19 bits)
Octal 0o1466531
Hexadecimal 0x66D59

Divisor Catalog (5 of 12)

1 3 9 17 51

Collatz Trajectory (205 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.

421,209 1,263,628 631,814 315,907 947,722

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