λ
Sigma Notebook

267,768

23 × 32 × 3719
Abundant Even Composite

267,768 is even and not a perfect square. Its factorization is 2^3 × 3^2 × 3719 and its 24 divisors sum to 725,400.

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Prime Factor Structure

Factorization String 2^3 × 3^2 × 3719
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 725,400
Proper Divisor Sum 457,632
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #267763 ← → #267781

Radix Representation

Decimal 267768
Binary 1000001010111111000 (19 bits)
Octal 0o1012770
Hexadecimal 0x415F8

Divisor Catalog (5 of 24)

1 2 3 4 6

Collatz Trajectory (238 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.

267,768 133,884 66,942 33,471 100,414

More profiles

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