3,970,109

11 × 13 × 27763

3,970,109 factors as 11 × 13 × 27763. Its 8 positive divisors give a proper-divisor sum of 694,243, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 11 × 13 × 27763

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,664,352

Proper Divisor Sum 694,243

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3970103 ← → #3970111

Radix Representation

Decimal	3970109
Binary	1111001001010000111101 (22 bits)
Octal	0o17112075
Hexadecimal	0x3C943D

Divisor Catalog (8)

1 11 13 143 27,763 305,393 360,919 3,970,109

Collatz Trajectory (185 steps to reach 1)

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

3,970,109 11,910,328 5,955,164 2,977,582 1,488,791 4,466,374 2,233,187 6,699,562 3,349,781 10,049,344 5,024,672 2,512,336 1,256,168 628,084 314,042 157,021 471,064 235,532 117,766 58,883 176,650 88,325 264,976 132,488 66,244 33,122 16,561 49,684 24,842 12,421 37,264 18,632 9,316 4,658 2,329 6,988 3,494 1,747 5,242 2,621 7,864 3,932 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210

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