λ
Prime Ledger

3,068,946

2 × 32 × 170497
Abundant Even Composite

3,068,946 has the prime decomposition 2 × 3^2 × 170497. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 170497
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,649,422
Proper Divisor Sum 3,580,476
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3068941 ← → #3068951

Radix Representation

Decimal 3068946
Binary 1011101101010000010010 (22 bits)
Octal 0o13552022
Hexadecimal 0x2ED412

Divisor Catalog (12)

1 2 3 6 9 18 170,497 340,994 511,491 1,022,982 1,534,473 3,068,946

Collatz Trajectory (151 steps to reach 1)

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

3,068,946 1,534,473 4,603,420 2,301,710 1,150,855 3,452,566 1,726,283 5,178,850 2,589,425 7,768,276 3,884,138 1,942,069 5,826,208 2,913,104 1,456,552 728,276 364,138 182,069 546,208 273,104 136,552 68,276 34,138 17,069 51,208 25,604 12,802 6,401 19,204 9,602 4,801 14,404 7,202 3,601 10,804 5,402 2,701 8,104 4,052 2,026 1,013 3,040 1,520 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91

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