λ
Matchaa Zalai

1,758,528

26 × 32 × 43 × 71
Abundant Even Composite

1,758,528 factors as 2^6 × 3^2 × 43 × 71. Its 84 positive divisors give a proper-divisor sum of 3,471,840, so this integer is abundant. The Collatz stopping time is 114 steps.

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Prime Factor Structure

Factorization String 2^6 × 3^2 × 43 × 71
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 84
Divisor Sum (σ) 5,230,368
Proper Divisor Sum 3,471,840
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1758527 ← → #1758539

Radix Representation

Decimal 1758528
Binary 110101101010101000000 (21 bits)
Octal 0o6552500
Hexadecimal 0x1AD540

Divisor Catalog (5 of 84)

1 2 3 4 6

Collatz Trajectory (114 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.

1,758,528 879,264 439,632 219,816 109,908

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