λ
Zalai Atlas

2,792,352

25 × 3 × 17 × 29 × 59
Abundant Even Composite

2,792,352 has the prime decomposition 2^5 × 3 × 17 × 29 × 59. Its 5 distinct prime factors produce 96 positive divisors.

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Prime Factor Structure

Factorization String 2^5 × 3 × 17 × 29 × 59
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 8,164,800
Proper Divisor Sum 5,372,448
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2792351 ← → #2792357

Radix Representation

Decimal 2792352
Binary 1010101001101110100000 (22 bits)
Octal 0o12515640
Hexadecimal 0x2A9BA0

Divisor Catalog (5 of 96)

1 2 3 4 6

Collatz Trajectory (169 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.

2,792,352 1,396,176 698,088 349,044 174,522

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