λ
Sigma Notebook

7,564,020

22 × 3 × 5 × 126067
Abundant Even Composite

7,564,020 is even and not a perfect square. Its factorization is 2^2 × 3 × 5 × 126067 and its 24 divisors sum to 21,179,424.

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Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 126067
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 21,179,424
Proper Divisor Sum 13,615,404
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7564019 ← → #7564057

Radix Representation

Decimal 7564020
Binary 11100110110101011110100 (23 bits)
Octal 0o34665364
Hexadecimal 0x736AF4

Divisor Catalog (5 of 24)

1 2 3 4 5

Collatz Trajectory (217 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.

7,564,020 3,782,010 1,891,005 5,673,016 2,836,508

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