λ
Sigma Notebook

1,757,056

27 × 7 × 37 × 53
Abundant Even Composite

1,757,056 is even and not a perfect square. Its factorization is 2^7 × 7 × 37 × 53 and its 64 divisors sum to 4,186,080.

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Prime Factor Structure

Factorization String 2^7 × 7 × 37 × 53
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 4,186,080
Proper Divisor Sum 2,429,024
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1757033 ← → #1757057

Radix Representation

Decimal 1757056
Binary 110101100111110000000 (21 bits)
Octal 0o6547600
Hexadecimal 0x1ACF80

Divisor Catalog (5 of 64)

1 2 4 7 8

Collatz Trajectory (96 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.

1,757,056 878,528 439,264 219,632 109,816

More profiles

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