λ
Sigma Notebook

266,535

32 × 5 × 5923
Deficient Odd Composite

266,535 is odd and not a perfect square. Its factorization is 3^2 × 5 × 5923 and its 12 divisors sum to 462,072.

Prime Factor Structure

Factorization String 3^2 × 5 × 5923
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 462,072
Proper Divisor Sum 195,537
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #266521 ← → #266549

Radix Representation

Decimal 266535
Binary 1000001000100100111 (19 bits)
Octal 0o1010447
Hexadecimal 0x41127

Divisor Catalog (12)

1 3 5 9 15 45 5,923 17,769 29,615 53,307 88,845 266,535

Collatz Trajectory (176 steps to reach 1)

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

266,535 799,606 399,803 1,199,410 599,705 1,799,116 899,558 449,779 1,349,338 674,669 2,024,008 1,012,004 506,002 253,001 759,004 379,502 189,751 569,254 284,627 853,882 426,941 1,280,824 640,412 320,206 160,103 480,310 240,155 720,466 360,233 1,080,700 540,350 270,175 810,526 405,263 1,215,790 607,895 1,823,686 911,843 2,735,530 1,367,765 4,103,296 2,051,648 1,025,824 512,912 256,456 128,228 64,114 32,057 96,172 48,086 24,043 72,130 36,065 108,196 54,098 27,049 81,148 40,574 20,287 60,862

More profiles

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