λ
Integer Codex

265,865

5 × 53173
Deficient Odd Composite

For 265,865, the 4 positive divisors have a total of 319,044. Removing 265,865 leaves 53,179, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 53173
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 319,044
Proper Divisor Sum 53,179
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #265861 ← → #265871

Radix Representation

Decimal 265865
Binary 1000000111010001001 (19 bits)
Octal 0o1007211
Hexadecimal 0x40E89

Divisor Catalog (4)

1 5 53,173 265,865

Collatz Trajectory (238 steps to reach 1)

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

265,865 797,596 398,798 199,399 598,198 299,099 897,298 448,649 1,345,948 672,974 336,487 1,009,462 504,731 1,514,194 757,097 2,271,292 1,135,646 567,823 1,703,470 851,735 2,555,206 1,277,603 3,832,810 1,916,405 5,749,216 2,874,608 1,437,304 718,652 359,326 179,663 538,990 269,495 808,486 404,243 1,212,730 606,365 1,819,096 909,548 454,774 227,387 682,162 341,081 1,023,244 511,622 255,811 767,434 383,717 1,151,152 575,576 287,788 143,894 71,947 215,842 107,921 323,764 161,882 80,941 242,824 121,412 60,706

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