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Modular Archive

17,577

34 × 7 × 31
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 7 × 31
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 30,976
Proper Divisor Sum 13,399
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #17573 ← → #17579

Radix Representation

Decimal 17577
Binary 100010010101001 (15 bits)
Octal 0o42251
Hexadecimal 0x44A9

Divisor Catalog (20)

Collatz Trajectory (247 steps to reach 1)

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

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