λ
Sigma Notebook

1,262,144

26 × 13 × 37 × 41
Abundant Even Composite

1,262,144 is even and not a perfect square. Its factorization is 2^6 × 13 × 37 × 41 and its 56 divisors sum to 2,837,688.

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Prime Factor Structure

Factorization String 2^6 × 13 × 37 × 41
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 2,837,688
Proper Divisor Sum 1,575,544
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1262143 ← → #1262147

Radix Representation

Decimal 1262144
Binary 100110100001001000000 (21 bits)
Octal 0o4641100
Hexadecimal 0x134240

Divisor Catalog (5 of 56)

1 2 4 8 13

Collatz Trajectory (67 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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