λ
Integer Codex

38,973

3 × 11 × 1181
Deficient Odd Composite

For 38,973, the 8 positive divisors have a total of 56,736. Removing 38,973 leaves 17,763, which gives the deficient classification.

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Prime Factor Structure

Factorization String 3 × 11 × 1181
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 56,736
Proper Divisor Sum 17,763
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #38971 ← → #38977

Radix Representation

Decimal 38973
Binary 1001100000111101 (16 bits)
Octal 0o114075
Hexadecimal 0x983D

Divisor Catalog (5 of 8)

Collatz Trajectory (49 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.

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