3,850,834

2 × 13² × 11393

3,850,834 factors as 2 × 13^2 × 11393. Its 12 positive divisors give a proper-divisor sum of 2,404,472, so this integer is deficient. The Collatz stopping time is 260 steps.

Prime Factor Structure

Factorization String 2 × 13^2 × 11393

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,255,306

Proper Divisor Sum 2,404,472

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3850831 ← → #3850837

Radix Representation

Decimal	3850834
Binary	1110101100001001010010 (22 bits)
Octal	0o16541122
Hexadecimal	0x3AC252

Divisor Catalog (12)

1 2 13 26 169 338 11,393 22,786 148,109 296,218 1,925,417 3,850,834

Collatz Trajectory (260 steps to reach 1)

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

3,850,834 1,925,417 5,776,252 2,888,126 1,444,063 4,332,190 2,166,095 6,498,286 3,249,143 9,747,430 4,873,715 14,621,146 7,310,573 21,931,720 10,965,860 5,482,930 2,741,465 8,224,396 4,112,198 2,056,099 6,168,298 3,084,149 9,252,448 4,626,224 2,313,112 1,156,556 578,278 289,139 867,418 433,709 1,301,128 650,564 325,282 162,641 487,924 243,962 121,981 365,944 182,972 91,486 45,743 137,230 68,615 205,846 102,923 308,770 154,385 463,156 231,578 115,789 347,368 173,684 86,842 43,421 130,264 65,132 32,566 16,283 48,850 24,425

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