λ
Prime Ledger

6,774,200

23 × 52 × 33871
Abundant Even Composite

6,774,200 has the prime decomposition 2^3 × 5^2 × 33871. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 33871
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,750,480
Proper Divisor Sum 8,976,280
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6774191 ← → #6774217

Radix Representation

Decimal 6774200
Binary 11001110101110110111000 (23 bits)
Octal 0o31656670
Hexadecimal 0x675DB8

Divisor Catalog (24)

1 2 4 5 8 10 20 25 40 50 100 200 33,871 67,742 135,484 169,355 270,968 338,710 677,420 846,775 1,354,840 1,693,550 3,387,100 6,774,200

Collatz Trajectory (129 steps to reach 1)

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

6,774,200 3,387,100 1,693,550 846,775 2,540,326 1,270,163 3,810,490 1,905,245 5,715,736 2,857,868 1,428,934 714,467 2,143,402 1,071,701 3,215,104 1,607,552 803,776 401,888 200,944 100,472 50,236 25,118 12,559 37,678 18,839 56,518 28,259 84,778 42,389 127,168 63,584 31,792 15,896 7,948 3,974 1,987 5,962 2,981 8,944 4,472 2,236 1,118 559 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180

More profiles

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