λ
Integer Codex

430,784

26 × 53 × 127
Abundant Even Composite

For 430,784, the 28 positive divisors have a total of 877,824. Removing 430,784 leaves 447,040, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^6 × 53 × 127
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 877,824
Proper Divisor Sum 447,040
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #430783 ← → #430789

Radix Representation

Decimal 430784
Binary 1101001001011000000 (19 bits)
Octal 0o1511300
Hexadecimal 0x692C0

Divisor Catalog (5 of 28)

1 2 4 8 16

Collatz Trajectory (50 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.

430,784 215,392 107,696 53,848 26,924

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