λ
Match Zalai

1,579,578

2 × 3 × 7 × 11 × 13 × 263
Abundant Even Composite

1,579,578 factors as 2 × 3 × 7 × 11 × 13 × 263. Its 64 positive divisors give a proper-divisor sum of 2,678,214, so this integer is abundant. The Collatz stopping time is 194 steps.

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Prime Factor Structure

Factorization String 2 × 3 × 7 × 11 × 13 × 263
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 4,257,792
Proper Divisor Sum 2,678,214
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #1579561 ← → #1579579

Radix Representation

Decimal 1579578
Binary 110000001101000111010 (21 bits)
Octal 0o6015072
Hexadecimal 0x181A3A

Divisor Catalog (5 of 64)

1 2 3 6 7

Collatz Trajectory (194 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.

1,579,578 789,789 2,369,368 1,184,684 592,342

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