λ
Integer Codex

428,429

428429
Deficient Odd Prime

For 428,429, the 2 positive divisors have a total of 428,430. Removing 428,429 leaves 1, which gives the deficient classification.

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Prime Factor Structure

Factorization String 428429
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 428,430
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #428411 ← → #428471

Radix Representation

Decimal 428429
Binary 1101000100110001101 (19 bits)
Octal 0o1504615
Hexadecimal 0x6898D

Divisor Catalog (2)

1 428,429

Collatz Trajectory (73 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.

428,429 1,285,288 642,644 321,322 160,661

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