λ
Sigma Notebook

504,262

2 × 11 × 22921
Deficient Even Composite

504,262 is even and not a perfect square. Its factorization is 2 × 11 × 22921 and its 8 divisors sum to 825,192.

Prime Factor Structure

Factorization String 2 × 11 × 22921
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 825,192
Proper Divisor Sum 320,930
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #504247 ← → #504269

Radix Representation

Decimal 504262
Binary 1111011000111000110 (19 bits)
Octal 0o1730706
Hexadecimal 0x7B1C6

Divisor Catalog (8)

1 2 11 22 22,921 45,842 252,131 504,262

Collatz Trajectory (32 steps to reach 1)

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

504,262 252,131 756,394 378,197 1,134,592 567,296 283,648 141,824 70,912 35,456 17,728 8,864 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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