λ
Prime Ledger

1,755,576

23 × 32 × 37 × 659
Abundant Even Composite

1,755,576 has the prime decomposition 2^3 × 3^2 × 37 × 659. Its 4 distinct prime factors produce 48 positive divisors.

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Prime Factor Structure

Factorization String 2^3 × 3^2 × 37 × 659
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,890,600
Proper Divisor Sum 3,135,024
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1755571 ← → #1755583

Radix Representation

Decimal 1755576
Binary 110101100100110111000 (21 bits)
Octal 0o6544670
Hexadecimal 0x1AC9B8

Divisor Catalog (5 of 48)

1 2 3 4 6

Collatz Trajectory (295 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.

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