λ
Sigma Notebook

521,184

25 × 3 × 61 × 89
Abundant Even Composite

521,184 is even and not a perfect square. Its factorization is 2^5 × 3 × 61 × 89 and its 48 divisors sum to 1,406,160.

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Prime Factor Structure

Factorization String 2^5 × 3 × 61 × 89
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,406,160
Proper Divisor Sum 884,976
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #521179 ← → #521201

Radix Representation

Decimal 521184
Binary 1111111001111100000 (19 bits)
Octal 0o1771740
Hexadecimal 0x7F3E0

Divisor Catalog (5 of 48)

1 2 3 4 6

Collatz Trajectory (164 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.

521,184 260,592 130,296 65,148 32,574

More profiles

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