λ
Match Zalai

535,002

2 × 3 × 13 × 193
Abundant Even Composite

535,002 factors as 2 × 3 × 13 × 19^3. Its 32 positive divisors give a proper-divisor sum of 681,318, so this integer is abundant. The Collatz stopping time is 133 steps.

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Prime Factor Structure

Factorization String 2 × 3 × 13 × 19^3
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,216,320
Proper Divisor Sum 681,318
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #534971 ← → #535013

Radix Representation

Decimal 535002
Binary 10000010100111011010 (20 bits)
Octal 0o2024732
Hexadecimal 0x829DA

Divisor Catalog (5 of 32)

1 2 3 6 13

Collatz Trajectory (133 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.

535,002 267,501 802,504 401,252 200,626

More profiles

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