λ
Sigma Notebook

477,763

11 × 132 × 257
Deficient Odd Composite

477,763 is odd and not a perfect square. Its factorization is 11 × 13^2 × 257 and its 12 divisors sum to 566,568.

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Prime Factor Structure

Factorization String 11 × 13^2 × 257
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 566,568
Proper Divisor Sum 88,805
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #477739 ← → #477767

Radix Representation

Decimal 477763
Binary 1110100101001000011 (19 bits)
Octal 0o1645103
Hexadecimal 0x74A43

Divisor Catalog (5 of 12)

1 11 13 143 169

Collatz Trajectory (76 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.

477,763 1,433,290 716,645 2,149,936 1,074,968

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