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Zalai Atlas

2,258,536

23 × 7 × 31 × 1301
Abundant Even Composite

2,258,536 has the prime decomposition 2^3 × 7 × 31 × 1301. Its 4 distinct prime factors produce 32 positive divisors.

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Prime Factor Structure

Factorization String 2^3 × 7 × 31 × 1301
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,999,680
Proper Divisor Sum 2,741,144
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2258527 ← → #2258539

Radix Representation

Decimal 2258536
Binary 1000100111011001101000 (22 bits)
Octal 0o10473150
Hexadecimal 0x227668

Divisor Catalog (5 of 32)

1 2 4 7 8

Collatz Trajectory (55 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.

2,258,536 1,129,268 564,634 282,317 846,952

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