265,617

3² × 11 × 2683

265,617 factors as 3^2 × 11 × 2683. Its 12 positive divisors give a proper-divisor sum of 153,087, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 2683

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 418,704

Proper Divisor Sum 153,087

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #265613 ← → #265619

Radix Representation

Decimal	265617
Binary	1000000110110010001 (19 bits)
Octal	0o1006621
Hexadecimal	0x40D91

Divisor Catalog (12)

1 3 9 11 33 99 2,683 8,049 24,147 29,513 88,539 265,617

Collatz Trajectory (163 steps to reach 1)

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

265,617 796,852 398,426 199,213 597,640 298,820 149,410 74,705 224,116 112,058 56,029 168,088 84,044 42,022 21,011 63,034 31,517 94,552 47,276 23,638 11,819 35,458 17,729 53,188 26,594 13,297 39,892 19,946 9,973 29,920 14,960 7,480 3,740 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47

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