λ
Integer Codex

3,728,797

17 × 421 × 521
Deficient Odd Composite

For 3,728,797, the 8 positive divisors have a total of 3,965,112. Removing 3,728,797 leaves 236,315, which gives the deficient classification.

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Prime Factor Structure

Factorization String 17 × 421 × 521
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,965,112
Proper Divisor Sum 236,315
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #3728789 ← → #3728821

Radix Representation

Decimal 3728797
Binary 1110001110010110011101 (22 bits)
Octal 0o16162635
Hexadecimal 0x38E59D

Divisor Catalog (5 of 8)

1 17 421 521 7,157

Collatz Trajectory (234 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.

3,728,797 11,186,392 5,593,196 2,796,598 1,398,299

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