3,969,836

2² × 13 × 76343

3,969,836 factors as 2^2 × 13 × 76343. Its 12 positive divisors give a proper-divisor sum of 3,511,876, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 76343

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,481,712

Proper Divisor Sum 3,511,876

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #3969827 ← → #3969853

Radix Representation

Decimal	3969836
Binary	1111001001001100101100 (22 bits)
Octal	0o17111454
Hexadecimal	0x3C932C

Divisor Catalog (12)

1 2 4 13 26 52 76,343 152,686 305,372 992,459 1,984,918 3,969,836

Collatz Trajectory (123 steps to reach 1)

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

3,969,836 1,984,918 992,459 2,977,378 1,488,689 4,466,068 2,233,034 1,116,517 3,349,552 1,674,776 837,388 418,694 209,347 628,042 314,021 942,064 471,032 235,516 117,758 58,879 176,638 88,319 264,958 132,479 397,438 198,719 596,158 298,079 894,238 447,119 1,341,358 670,679 2,012,038 1,006,019 3,018,058 1,509,029 4,527,088 2,263,544 1,131,772 565,886 282,943 848,830 424,415 1,273,246 636,623 1,909,870 954,935 2,864,806 1,432,403 4,297,210 2,148,605 6,445,816 3,222,908 1,611,454 805,727 2,417,182 1,208,591 3,625,774 1,812,887 5,438,662

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