λ
Zalai Atlas

5,429,088

25 × 32 × 7 × 2693
Abundant Even Composite

5,429,088 has the prime decomposition 2^5 × 3^2 × 7 × 2693. Its 4 distinct prime factors produce 72 positive divisors.

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Prime Factor Structure

Factorization String 2^5 × 3^2 × 7 × 2693
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 17,651,088
Proper Divisor Sum 12,222,000
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5429087 ← → #5429093

Radix Representation

Decimal 5429088
Binary 10100101101011101100000 (23 bits)
Octal 0o24553540
Hexadecimal 0x52D760

Divisor Catalog (5 of 72)

1 2 3 4 6

Collatz Trajectory (64 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.

5,429,088 2,714,544 1,357,272 678,636 339,318

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