327,665

5 × 13 × 71²

327,665 factors as 5 × 13 × 71^2. Its 12 positive divisors give a proper-divisor sum of 101,827, so this integer is deficient. The Collatz stopping time is 246 steps.

Prime Factor Structure

Factorization String 5 × 13 × 71^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 429,492

Proper Divisor Sum 101,827

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #327661 ← → #327667

Radix Representation

Decimal	327665
Binary	1001111111111110001 (19 bits)
Octal	0o1177761
Hexadecimal	0x4FFF1

Divisor Catalog (12)

1 5 13 65 71 355 923 4,615 5,041 25,205 65,533 327,665

Collatz Trajectory (246 steps to reach 1)

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

327,665 982,996 491,498 245,749 737,248 368,624 184,312 92,156 46,078 23,039 69,118 34,559 103,678 51,839 155,518 77,759 233,278 116,639 349,918 174,959 524,878 262,439 787,318 393,659 1,180,978 590,489 1,771,468 885,734 442,867 1,328,602 664,301 1,992,904 996,452 498,226 249,113 747,340 373,670 186,835 560,506 280,253 840,760 420,380 210,190 105,095 315,286 157,643 472,930 236,465 709,396 354,698 177,349 532,048 266,024 133,012 66,506 33,253 99,760 49,880 24,940 12,470

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