λ
Match Zalai

7,479,100

22 × 52 × 29 × 2579
Abundant Even Composite

7,479,100 factors as 2^2 × 5^2 × 29 × 2579. Its 36 positive divisors give a proper-divisor sum of 9,316,700, so this integer is abundant. The Collatz stopping time is 142 steps.

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Prime Factor Structure

Factorization String 2^2 × 5^2 × 29 × 2579
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 16,795,800
Proper Divisor Sum 9,316,700
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7479089 ← → #7479113

Radix Representation

Decimal 7479100
Binary 11100100001111100111100 (23 bits)
Octal 0o34417474
Hexadecimal 0x721F3C

Divisor Catalog (5 of 36)

1 2 4 5 10

Collatz Trajectory (142 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.

7,479,100 3,739,550 1,869,775 5,609,326 2,804,663

More profiles

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