852,845

5 × 7² × 59²

852,845 factors as 5 × 7^2 × 59^2. Its 18 positive divisors give a proper-divisor sum of 358,177, so this integer is deficient. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 5 × 7^2 × 59^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 1,211,022

Proper Divisor Sum 358,177

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #852833 ← → #852847

Radix Representation

Decimal	852845
Binary	11010000001101101101 (20 bits)
Octal	0o3201555
Hexadecimal	0xD036D

Divisor Catalog (18)

1 5 7 35 49 59 245 295 413 2,065 2,891 3,481 14,455 17,405 24,367 121,835 170,569 852,845

Collatz Trajectory (100 steps to reach 1)

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

852,845 2,558,536 1,279,268 639,634 319,817 959,452 479,726 239,863 719,590 359,795 1,079,386 539,693 1,619,080 809,540 404,770 202,385 607,156 303,578 151,789 455,368 227,684 113,842 56,921 170,764 85,382 42,691 128,074 64,037 192,112 96,056 48,028 24,014 12,007 36,022 18,011 54,034 27,017 81,052 40,526 20,263 60,790 30,395 91,186 45,593 136,780 68,390 34,195 102,586 51,293 153,880 76,940 38,470 19,235 57,706 28,853 86,560 43,280 21,640 10,820 5,410

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