λ
Prime Ledger

52,620

22 × 3 × 5 × 877
Abundant Even Composite

52,620 has the prime decomposition 2^2 × 3 × 5 × 877. Its 4 distinct prime factors produce 24 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 877
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 147,504
Proper Divisor Sum 94,884
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #52609 ← → #52627

Radix Representation

Decimal 52620
Binary 1100110110001100 (16 bits)
Octal 0o146614
Hexadecimal 0xCD8C

Divisor Catalog (5 of 24)

1 2 3 4 5

Collatz Trajectory (140 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

52,620 26,310 13,155 39,466 19,733

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