λ
Match Zalai

7,000,448

27 × 7 × 13 × 601
Abundant Even Composite

7,000,448 factors as 2^7 × 7 × 13 × 601. Its 64 positive divisors give a proper-divisor sum of 10,192,672, so this integer is abundant. The Collatz stopping time is 160 steps.

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Prime Factor Structure

Factorization String 2^7 × 7 × 13 × 601
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 17,193,120
Proper Divisor Sum 10,192,672
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #7000429 ← → #7000459

Radix Representation

Decimal 7000448
Binary 11010101101000110000000 (23 bits)
Octal 0o32550600
Hexadecimal 0x6AD180

Divisor Catalog (5 of 64)

1 2 4 7 8

Collatz Trajectory (160 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.

7,000,448 3,500,224 1,750,112 875,056 437,528

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