λ
Matchaa Zalai

3,564,500

22 × 53 × 7129
Abundant Even Composite

3,564,500 factors as 2^2 × 5^3 × 7129. Its 24 positive divisors give a proper-divisor sum of 4,221,460, so this integer is abundant. The Collatz stopping time is 71 steps.

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Prime Factor Structure

Factorization String 2^2 × 5^3 × 7129
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,785,960
Proper Divisor Sum 4,221,460
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3564497 ← → #3564503

Radix Representation

Decimal 3564500
Binary 1101100110001111010100 (22 bits)
Octal 0o15461724
Hexadecimal 0x3663D4

Divisor Catalog (5 of 24)

1 2 4 5 10

Collatz Trajectory (71 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.

3,564,500 1,782,250 891,125 2,673,376 1,336,688

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