λ
Sequence Observatory

2,034,940

22 × 5 × 101747
Abundant Even Composite

Starting at 2,034,940, the Collatz iteration reaches 1 after 166 steps. The first transition is 1017470; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 101747
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,273,416
Proper Divisor Sum 2,238,476
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2034937 ← → #2034941

Radix Representation

Decimal 2034940
Binary 111110000110011111100 (21 bits)
Octal 0o7606374
Hexadecimal 0x1F0CFC

Divisor Catalog (12)

1 2 4 5 10 20 101,747 203,494 406,988 508,735 1,017,470 2,034,940

Collatz Trajectory (166 steps to reach 1)

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

2,034,940 1,017,470 508,735 1,526,206 763,103 2,289,310 1,144,655 3,433,966 1,716,983 5,150,950 2,575,475 7,726,426 3,863,213 11,589,640 5,794,820 2,897,410 1,448,705 4,346,116 2,173,058 1,086,529 3,259,588 1,629,794 814,897 2,444,692 1,222,346 611,173 1,833,520 916,760 458,380 229,190 114,595 343,786 171,893 515,680 257,840 128,920 64,460 32,230 16,115 48,346 24,173 72,520 36,260 18,130 9,065 27,196 13,598 6,799 20,398 10,199 30,598 15,299 45,898 22,949 68,848 34,424 17,212 8,606 4,303 12,910

More profiles

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