λ
Prime Ledger

427,576

23 × 19 × 29 × 97
Abundant Even Composite

427,576 has the prime decomposition 2^3 × 19 × 29 × 97. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 19 × 29 × 97
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 882,000
Proper Divisor Sum 454,424
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #427541 ← → #427579

Radix Representation

Decimal 427576
Binary 1101000011000111000 (19 bits)
Octal 0o1503070
Hexadecimal 0x68638

Divisor Catalog (32)

Collatz Trajectory (218 steps to reach 1)

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

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