λ
Sigma Notebook

502,271

7 × 112 × 593
Deficient Odd Composite

502,271 is odd and not a perfect square. Its factorization is 7 × 11^2 × 593 and its 12 divisors sum to 632,016.

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Prime Factor Structure

Factorization String 7 × 11^2 × 593
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 632,016
Proper Divisor Sum 129,745
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #502261 ← → #502277

Radix Representation

Decimal 502271
Binary 1111010100111111111 (19 bits)
Octal 0o1724777
Hexadecimal 0x7A9FF

Divisor Catalog (5 of 12)

1 7 11 77 121

Collatz Trajectory (226 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.

502,271 1,506,814 753,407 2,260,222 1,130,111

More profiles

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