λ
Integer Codex

378,714

2 × 3 × 7 × 71 × 127
Abundant Even Composite

For 378,714, the 32 positive divisors have a total of 884,736. Removing 378,714 leaves 506,022, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2 × 3 × 7 × 71 × 127
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 884,736
Proper Divisor Sum 506,022
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #378713 ← → #378733

Radix Representation

Decimal 378714
Binary 1011100011101011010 (19 bits)
Octal 0o1343532
Hexadecimal 0x5C75A

Divisor Catalog (5 of 32)

1 2 3 6 7

Collatz Trajectory (223 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.

378,714 189,357 568,072 284,036 142,018

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