λ
Integer Codex

3,997,420

22 × 5 × 72 × 4079
Abundant Even Composite

For 3,997,420, the 36 positive divisors have a total of 9,767,520. Removing 3,997,420 leaves 5,770,100, which gives the abundant classification.

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Prime Factor Structure

Factorization String 2^2 × 5 × 7^2 × 4079
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 9,767,520
Proper Divisor Sum 5,770,100
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3997403 ← → #3997453

Radix Representation

Decimal 3997420
Binary 1111001111111011101100 (22 bits)
Octal 0o17177354
Hexadecimal 0x3CFEEC

Divisor Catalog (5 of 36)

1 2 4 5 7

Collatz Trajectory (185 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.

3,997,420 1,998,710 999,355 2,998,066 1,499,033

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