837,046

2 × 7 × 17 × 3517

837,046 factors as 2 × 7 × 17 × 3517. Its 16 positive divisors give a proper-divisor sum of 682,730, so this integer is deficient. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2 × 7 × 17 × 3517

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,519,776

Proper Divisor Sum 682,730

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #837043 ← → #837047

Radix Representation

Decimal	837046
Binary	11001100010110110110 (20 bits)
Octal	0o3142666
Hexadecimal	0xCC5B6

Divisor Catalog (16)

1 2 7 14 17 34 119 238 3,517 7,034 24,619 49,238 59,789 119,578 418,523 837,046

Collatz Trajectory (113 steps to reach 1)

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

837,046 418,523 1,255,570 627,785 1,883,356 941,678 470,839 1,412,518 706,259 2,118,778 1,059,389 3,178,168 1,589,084 794,542 397,271 1,191,814 595,907 1,787,722 893,861 2,681,584 1,340,792 670,396 335,198 167,599 502,798 251,399 754,198 377,099 1,131,298 565,649 1,696,948 848,474 424,237 1,272,712 636,356 318,178 159,089 477,268 238,634 119,317 357,952 178,976 89,488 44,744 22,372 11,186 5,593 16,780 8,390 4,195 12,586 6,293 18,880 9,440 4,720 2,360 1,180 590 295 886

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