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Modular Archive

35,344

24 × 472
Deficient Even Composite Square (√ = 188)

Prime Factor Structure

Factorization String 2^4 × 47^2
Distinct Prime Factors 2
Square Status Yes (√35344 = 188)
Abundance Measure Deficient

Analytical Properties

Total Divisors 15
Divisor Sum (σ) 69,967
Proper Divisor Sum 34,623
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #35339 ← → #35353

Radix Representation

Decimal 35344
Binary 1000101000010000 (16 bits)
Octal 0o105020
Hexadecimal 0x8A10

Divisor Catalog (15)

Collatz Trajectory (80 steps to reach 1)

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

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