λ
Ratio Atlas

8,201,564

22 × 7 × 499 × 587
Abundant Even Composite

8,201,564 factors as 2^2 × 7 × 499 × 587. Its 24 positive divisors give a proper-divisor sum of 8,262,436, so this integer is abundant. The Collatz stopping time is 54 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 499 × 587
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,464,000
Proper Divisor Sum 8,262,436
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #8201563 ← → #8201573

Radix Representation

Decimal 8201564
Binary 11111010010010101011100 (23 bits)
Octal 0o37222534
Hexadecimal 0x7D255C

Divisor Catalog (24)

Collatz Trajectory (54 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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