λ
Sigma Notebook

419,762

2 × 7 × 29983
Deficient Even Composite

419,762 is even and not a perfect square. Its factorization is 2 × 7 × 29983 and its 8 divisors sum to 719,616.

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Prime Factor Structure

Factorization String 2 × 7 × 29983
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 719,616
Proper Divisor Sum 299,854
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #419753 ← → #419777

Radix Representation

Decimal 419762
Binary 1100110011110110010 (19 bits)
Octal 0o1463662
Hexadecimal 0x667B2

Divisor Catalog (5 of 8)

1 2 7 14 29,983

Collatz Trajectory (112 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.

419,762 209,881 629,644 314,822 157,411

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