λ
Integer Codex

1,728,213

3 × 43 × 13397
Deficient Odd Composite

For 1,728,213, the 8 positive divisors have a total of 2,358,048. Removing 1,728,213 leaves 629,835, which gives the deficient classification.

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Prime Factor Structure

Factorization String 3 × 43 × 13397
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,358,048
Proper Divisor Sum 629,835
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1728193 ← → #1728229

Radix Representation

Decimal 1728213
Binary 110100101111011010101 (21 bits)
Octal 0o6457325
Hexadecimal 0x1A5ED5

Divisor Catalog (5 of 8)

1 3 43 129 13,397

Collatz Trajectory (96 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.

1,728,213 5,184,640 2,592,320 1,296,160 648,080

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