λ
Match Zalai

2,566,710

2 × 32 × 5 × 192 × 79
Abundant Even Composite

2,566,710 factors as 2 × 3^2 × 5 × 19^2 × 79. Its 72 positive divisors give a proper-divisor sum of 4,565,610, so this integer is abundant. The Collatz stopping time is 174 steps.

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Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 19^2 × 79
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 7,132,320
Proper Divisor Sum 4,565,610
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2566709 ← → #2566747

Radix Representation

Decimal 2566710
Binary 1001110010101000110110 (22 bits)
Octal 0o11625066
Hexadecimal 0x272A36

Divisor Catalog (5 of 72)

1 2 3 5 6

Collatz Trajectory (174 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.

2,566,710 1,283,355 3,850,066 1,925,033 5,775,100

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