λ
Prime Ledger

1,052,766

2 × 32 × 11 × 13 × 409
Abundant Even Composite

1,052,766 has the prime decomposition 2 × 3^2 × 11 × 13 × 409. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 13 × 409
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,686,320
Proper Divisor Sum 1,633,554
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1052747 ← → #1052767

Radix Representation

Decimal 1052766
Binary 100000001000001011110 (21 bits)
Octal 0o4010136
Hexadecimal 0x10105E

Divisor Catalog (48)

Collatz Trajectory (152 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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