λ
Sigma Notebook

7,206,560

25 × 5 × 73 × 617
Abundant Even Composite

7,206,560 is even and not a perfect square. Its factorization is 2^5 × 5 × 73 × 617 and its 48 divisors sum to 17,286,696.

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Prime Factor Structure

Factorization String 2^5 × 5 × 73 × 617
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,286,696
Proper Divisor Sum 10,080,136
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7206547 ← → #7206581

Radix Representation

Decimal 7206560
Binary 11011011111011010100000 (23 bits)
Octal 0o33373240
Hexadecimal 0x6DF6A0

Divisor Catalog (5 of 48)

1 2 4 5 8

Collatz Trajectory (116 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.

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