λ
Modular Archive

2,689

2689
Deficient Odd Prime

Prime Factor Structure

Factorization String 2689
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,690
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2687 ← → #2693

Radix Representation

Decimal 2689
Binary 101010000001 (12 bits)
Octal 0o5201
Hexadecimal 0xA81

Divisor Catalog (2)

Collatz Trajectory (71 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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