λ
Prime Ledger

4,122,638

2 × 13 × 158563
Deficient Even Composite

4,122,638 has the prime decomposition 2 × 13 × 158563. Its 3 distinct prime factors produce 8 positive divisors.

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Prime Factor Structure

Factorization String 2 × 13 × 158563
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,659,688
Proper Divisor Sum 2,537,050
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4122631 ← → #4122641

Radix Representation

Decimal 4122638
Binary 1111101110100000001110 (22 bits)
Octal 0o17564016
Hexadecimal 0x3EE80E

Divisor Catalog (5 of 8)

1 2 13 26 158,563

Collatz Trajectory (92 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.

4,122,638 2,061,319 6,183,958 3,091,979 9,275,938

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