λ
Integer Codex

67,766

2 × 31 × 1093
Deficient Even Composite

For 67,766, the 8 positive divisors have a total of 105,024. Removing 67,766 leaves 37,258, which gives the deficient classification.

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Prime Factor Structure

Factorization String 2 × 31 × 1093
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 105,024
Proper Divisor Sum 37,258
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #67763 ← → #67777

Radix Representation

Decimal 67766
Binary 10000100010110110 (17 bits)
Octal 0o204266
Hexadecimal 0x108B6

Divisor Catalog (5 of 8)

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.

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