λ
Match Zalai

4,312,419

3 × 113 × 12721
Deficient Odd Composite

4,312,419 factors as 3 × 113 × 12721. Its 8 positive divisors give a proper-divisor sum of 1,488,813, so this integer is deficient. The Collatz stopping time is 74 steps.

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Prime Factor Structure

Factorization String 3 × 113 × 12721
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,801,232
Proper Divisor Sum 1,488,813
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4312417 ← → #4312433

Radix Representation

Decimal 4312419
Binary 10000011100110101100011 (23 bits)
Octal 0o20346543
Hexadecimal 0x41CD63

Divisor Catalog (5 of 8)

1 3 113 339 12,721

Collatz Trajectory (74 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.

4,312,419 12,937,258 6,468,629 19,405,888 9,702,944

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