λ
Ratio Atlas

8,039,200

25 × 52 × 13 × 773
Abundant Even Composite

8,039,200 factors as 2^5 × 5^2 × 13 × 773. Its 72 positive divisors give a proper-divisor sum of 13,123,508, so this integer is abundant. The Collatz stopping time is 62 steps.

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Prime Factor Structure

Factorization String 2^5 × 5^2 × 13 × 773
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 21,162,708
Proper Divisor Sum 13,123,508
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #8039189 ← → #8039201

Radix Representation

Decimal 8039200
Binary 11110101010101100100000 (23 bits)
Octal 0o36525440
Hexadecimal 0x7AAB20

Divisor Catalog (5 of 72)

1 2 4 5 8

Collatz Trajectory (62 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.

8,039,200 4,019,600 2,009,800 1,004,900 502,450

More profiles

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