λ
Match Zalai

7,396,572

22 × 3 × 239 × 2579
Abundant Even Composite

7,396,572 factors as 2^2 × 3 × 239 × 2579. Its 24 positive divisors give a proper-divisor sum of 9,941,028, so this integer is abundant. The Collatz stopping time is 111 steps.

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Prime Factor Structure

Factorization String 2^2 × 3 × 239 × 2579
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,337,600
Proper Divisor Sum 9,941,028
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7396553 ← → #7396577

Radix Representation

Decimal 7396572
Binary 11100001101110011011100 (23 bits)
Octal 0o34156334
Hexadecimal 0x70DCDC

Divisor Catalog (5 of 24)

1 2 3 4 6

Collatz Trajectory (111 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.

7,396,572 3,698,286 1,849,143 5,547,430 2,773,715

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