265,382

2 × 13 × 59 × 173

265,382 factors as 2 × 13 × 59 × 173. Its 16 positive divisors give a proper-divisor sum of 173,098, so this integer is deficient. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2 × 13 × 59 × 173

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 438,480

Proper Divisor Sum 173,098

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #265381 ← → #265399

Radix Representation

Decimal	265382
Binary	1000000110010100110 (19 bits)
Octal	0o1006246
Hexadecimal	0x40CA6

Divisor Catalog (16)

1 2 13 26 59 118 173 346 767 1,534 2,249 4,498 10,207 20,414 132,691 265,382

Collatz Trajectory (101 steps to reach 1)

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

265,382 132,691 398,074 199,037 597,112 298,556 149,278 74,639 223,918 111,959 335,878 167,939 503,818 251,909 755,728 377,864 188,932 94,466 47,233 141,700 70,850 35,425 106,276 53,138 26,569 79,708 39,854 19,927 59,782 29,891 89,674 44,837 134,512 67,256 33,628 16,814 8,407 25,222 12,611 37,834 18,917 56,752 28,376 14,188 7,094 3,547 10,642 5,321 15,964 7,982 3,991 11,974 5,987 17,962 8,981 26,944 13,472 6,736 3,368 1,684

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