λ
Zalai Atlas

2,725,576

23 × 72 × 17 × 409
Abundant Even Composite

2,725,576 has the prime decomposition 2^3 × 7^2 × 17 × 409. Its 4 distinct prime factors produce 48 positive divisors.

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Prime Factor Structure

Factorization String 2^3 × 7^2 × 17 × 409
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,309,900
Proper Divisor Sum 3,584,324
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2725571 ← → #2725621

Radix Representation

Decimal 2725576
Binary 1010011001011011001000 (22 bits)
Octal 0o12313310
Hexadecimal 0x2996C8

Divisor Catalog (5 of 48)

1 2 4 7 8

Collatz Trajectory (200 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.

2,725,576 1,362,788 681,394 340,697 1,022,092

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