λ
Sigma Notebook

266,232

23 × 3 × 11093
Abundant Even Composite

266,232 is even and not a perfect square. Its factorization is 2^3 × 3 × 11093 and its 16 divisors sum to 665,640.

Prime Factor Structure

Factorization String 2^3 × 3 × 11093
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 665,640
Proper Divisor Sum 399,408
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #266221 ← → #266239

Radix Representation

Decimal 266232
Binary 1000000111111111000 (19 bits)
Octal 0o1007770
Hexadecimal 0x40FF8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 11,093 22,186 33,279 44,372 66,558 88,744 133,116 266,232

Collatz Trajectory (93 steps to reach 1)

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

266,232 133,116 66,558 33,279 99,838 49,919 149,758 74,879 224,638 112,319 336,958 168,479 505,438 252,719 758,158 379,079 1,137,238 568,619 1,705,858 852,929 2,558,788 1,279,394 639,697 1,919,092 959,546 479,773 1,439,320 719,660 359,830 179,915 539,746 269,873 809,620 404,810 202,405 607,216 303,608 151,804 75,902 37,951 113,854 56,927 170,782 85,391 256,174 128,087 384,262 192,131 576,394 288,197 864,592 432,296 216,148 108,074 54,037 162,112 81,056 40,528 20,264 10,132

More profiles

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