λ
Integer Codex

4,786,431

3 × 13 × 31 × 37 × 107
Deficient Odd Composite

For 4,786,431, the 32 positive divisors have a total of 7,354,368. Removing 4,786,431 leaves 2,567,937, which gives the deficient classification.

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Prime Factor Structure

Factorization String 3 × 13 × 31 × 37 × 107
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,354,368
Proper Divisor Sum 2,567,937
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4786429 ← → #4786447

Radix Representation

Decimal 4786431
Binary 10010010000100011111111 (23 bits)
Octal 0o22204377
Hexadecimal 0x4908FF

Divisor Catalog (5 of 32)

1 3 13 31 37

Collatz Trajectory (149 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.

4,786,431 14,359,294 7,179,647 21,538,942 10,769,471

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