λ
Ratio Atlas

3,197,046

2 × 3 × 23 × 23167
Abundant Even Composite

3,197,046 factors as 2 × 3 × 23 × 23167. Its 16 positive divisors give a proper-divisor sum of 3,475,338, so this integer is abundant. The Collatz stopping time is 195 steps.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 23167
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,672,384
Proper Divisor Sum 3,475,338
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3197027 ← → #3197063

Radix Representation

Decimal 3197046
Binary 1100001100100001110110 (22 bits)
Octal 0o14144166
Hexadecimal 0x30C876

Divisor Catalog (16)

1 2 3 6 23 46 69 138 23,167 46,334 69,501 139,002 532,841 1,065,682 1,598,523 3,197,046

Collatz Trajectory (195 steps to reach 1)

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

3,197,046 1,598,523 4,795,570 2,397,785 7,193,356 3,596,678 1,798,339 5,395,018 2,697,509 8,092,528 4,046,264 2,023,132 1,011,566 505,783 1,517,350 758,675 2,276,026 1,138,013 3,414,040 1,707,020 853,510 426,755 1,280,266 640,133 1,920,400 960,200 480,100 240,050 120,025 360,076 180,038 90,019 270,058 135,029 405,088 202,544 101,272 50,636 25,318 12,659 37,978 18,989 56,968 28,484 14,242 7,121 21,364 10,682 5,341 16,024 8,012 4,006 2,003 6,010 3,005 9,016 4,508 2,254 1,127 3,382

More profiles

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