λ
Prime Ledger

3,338,180

22 × 5 × 166909
Abundant Even Composite

3,338,180 has the prime decomposition 2^2 × 5 × 166909. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 166909
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,010,220
Proper Divisor Sum 3,672,040
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3338147 ← → #3338189

Radix Representation

Decimal 3338180
Binary 1100101110111111000100 (22 bits)
Octal 0o14567704
Hexadecimal 0x32EFC4

Divisor Catalog (12)

1 2 4 5 10 20 166,909 333,818 667,636 834,545 1,669,090 3,338,180

Collatz Trajectory (89 steps to reach 1)

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

3,338,180 1,669,090 834,545 2,503,636 1,251,818 625,909 1,877,728 938,864 469,432 234,716 117,358 58,679 176,038 88,019 264,058 132,029 396,088 198,044 99,022 49,511 148,534 74,267 222,802 111,401 334,204 167,102 83,551 250,654 125,327 375,982 187,991 563,974 281,987 845,962 422,981 1,268,944 634,472 317,236 158,618 79,309 237,928 118,964 59,482 29,741 89,224 44,612 22,306 11,153 33,460 16,730 8,365 25,096 12,548 6,274 3,137 9,412 4,706 2,353 7,060 3,530

More profiles

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