λ
Prime Ledger

3,786,836

22 × 31 × 30539
Deficient Even Composite

3,786,836 has the prime decomposition 2^2 × 31 × 30539. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 31 × 30539
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,840,960
Proper Divisor Sum 3,054,124
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #3786829 ← → #3786847

Radix Representation

Decimal 3786836
Binary 1110011100100001010100 (22 bits)
Octal 0o16344124
Hexadecimal 0x39C854

Divisor Catalog (12)

1 2 4 31 62 124 30,539 61,078 122,156 946,709 1,893,418 3,786,836

Collatz Trajectory (66 steps to reach 1)

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

3,786,836 1,893,418 946,709 2,840,128 1,420,064 710,032 355,016 177,508 88,754 44,377 133,132 66,566 33,283 99,850 49,925 149,776 74,888 37,444 18,722 9,361 28,084 14,042 7,021 21,064 10,532 5,266 2,633 7,900 3,950 1,975 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20

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