851,361

3 × 7 × 71 × 571

851,361 factors as 3 × 7 × 71 × 571. Its 16 positive divisors give a proper-divisor sum of 466,527, so this integer is deficient. The Collatz stopping time is 219 steps.

Prime Factor Structure

Factorization String 3 × 7 × 71 × 571

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,317,888

Proper Divisor Sum 466,527

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #851359 ← → #851363

Radix Representation

Decimal	851361
Binary	11001111110110100001 (20 bits)
Octal	0o3176641
Hexadecimal	0xCFDA1

Divisor Catalog (16)

1 3 7 21 71 213 497 571 1,491 1,713 3,997 11,991 40,541 121,623 283,787 851,361

Collatz Trajectory (219 steps to reach 1)

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

851,361 2,554,084 1,277,042 638,521 1,915,564 957,782 478,891 1,436,674 718,337 2,155,012 1,077,506 538,753 1,616,260 808,130 404,065 1,212,196 606,098 303,049 909,148 454,574 227,287 681,862 340,931 1,022,794 511,397 1,534,192 767,096 383,548 191,774 95,887 287,662 143,831 431,494 215,747 647,242 323,621 970,864 485,432 242,716 121,358 60,679 182,038 91,019 273,058 136,529 409,588 204,794 102,397 307,192 153,596 76,798 38,399 115,198 57,599 172,798 86,399 259,198 129,599 388,798 194,399

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