λ
Prime Ledger

533,540

22 × 5 × 7 × 37 × 103
Abundant Even Composite

533,540 has the prime decomposition 2^2 × 5 × 7 × 37 × 103. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 37 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,327,872
Proper Divisor Sum 794,332
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #533509 ← → #533543

Radix Representation

Decimal 533540
Binary 10000010010000100100 (20 bits)
Octal 0o2022044
Hexadecimal 0x82424

Divisor Catalog (48)

Collatz Trajectory (120 steps to reach 1)

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

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