265,113

3⁵ × 1091

265,113 factors as 3^5 × 1091. Its 12 positive divisors give a proper-divisor sum of 132,375, so this integer is deficient. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 3^5 × 1091

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 397,488

Proper Divisor Sum 132,375

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #265093 ← → #265117

Radix Representation

Decimal	265113
Binary	1000000101110011001 (19 bits)
Octal	0o1005631
Hexadecimal	0x40B99

Divisor Catalog (12)

1 3 9 27 81 243 1,091 3,273 9,819 29,457 88,371 265,113

Collatz Trajectory (101 steps to reach 1)

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

265,113 795,340 397,670 198,835 596,506 298,253 894,760 447,380 223,690 111,845 335,536 167,768 83,884 41,942 20,971 62,914 31,457 94,372 47,186 23,593 70,780 35,390 17,695 53,086 26,543 79,630 39,815 119,446 59,723 179,170 89,585 268,756 134,378 67,189 201,568 100,784 50,392 25,196 12,598 6,299 18,898 9,449 28,348 14,174 7,087 21,262 10,631 31,894 15,947 47,842 23,921 71,764 35,882 17,941 53,824 26,912 13,456 6,728 3,364 1,682

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