λ
Modular Archive

47,657

47657
Deficient Odd Prime

Prime Factor Structure

Factorization String 47657
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 47,658
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #47653 ← → #47659

Radix Representation

Decimal 47657
Binary 1011101000101001 (16 bits)
Octal 0o135051
Hexadecimal 0xBA29

Divisor Catalog (2)

Collatz Trajectory (127 steps to reach 1)

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

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