λ
Ratio Atlas

3,970,106

2 × 7 × 283579
Deficient Even Composite

3,970,106 factors as 2 × 7 × 283579. Its 8 positive divisors give a proper-divisor sum of 2,835,814, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2 × 7 × 283579
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,805,920
Proper Divisor Sum 2,835,814
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3970103 ← → #3970111

Radix Representation

Decimal 3970106
Binary 1111001001010000111010 (22 bits)
Octal 0o17112072
Hexadecimal 0x3C943A

Divisor Catalog (8)

1 2 7 14 283,579 567,158 1,985,053 3,970,106

Collatz Trajectory (185 steps to reach 1)

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

3,970,106 1,985,053 5,955,160 2,977,580 1,488,790 744,395 2,233,186 1,116,593 3,349,780 1,674,890 837,445 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

More profiles

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