265,185

3² × 5 × 71 × 83

265,185 factors as 3^2 × 5 × 71 × 83. Its 24 positive divisors give a proper-divisor sum of 206,559, so this integer is deficient. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 71 × 83

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 471,744

Proper Divisor Sum 206,559

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #265169 ← → #265193

Radix Representation

Decimal	265185
Binary	1000000101111100001 (19 bits)
Octal	0o1005741
Hexadecimal	0x40BE1

Divisor Catalog (24)

1 3 5 9 15 45 71 83 213 249 355 415 639 747 1,065 1,245 3,195 3,735 5,893 17,679 29,465 53,037 88,395 265,185

Collatz Trajectory (101 steps to reach 1)

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

265,185 795,556 397,778 198,889 596,668 298,334 149,167 447,502 223,751 671,254 335,627 1,006,882 503,441 1,510,324 755,162 377,581 1,132,744 566,372 283,186 141,593 424,780 212,390 106,195 318,586 159,293 477,880 238,940 119,470 59,735 179,206 89,603 268,810 134,405 403,216 201,608 100,804 50,402 25,201 75,604 37,802 18,901 56,704 28,352 14,176 7,088 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281

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