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Zalai Atlas

2,129,640

23 × 3 × 5 × 17747
Abundant Even Composite

2,129,640 has the prime decomposition 2^3 × 3 × 5 × 17747. Its 4 distinct prime factors produce 32 positive divisors.

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Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 17747
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,389,280
Proper Divisor Sum 4,259,640
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2129627 ← → #2129671

Radix Representation

Decimal 2129640
Binary 1000000111111011101000 (22 bits)
Octal 0o10077350
Hexadecimal 0x207EE8

Divisor Catalog (5 of 32)

1 2 3 4 5

Collatz Trajectory (60 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.

2,129,640 1,064,820 532,410 266,205 798,616

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