λ
Prime Ledger

3,882,609

32 × 389 × 1109
Deficient Odd Composite

3,882,609 has the prime decomposition 3^2 × 389 × 1109. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 389 × 1109
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,627,700
Proper Divisor Sum 1,745,091
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3882601 ← → #3882643

Radix Representation

Decimal 3882609
Binary 1110110011111001110001 (22 bits)
Octal 0o16637161
Hexadecimal 0x3B3E71

Divisor Catalog (12)

1 3 9 389 1,109 1,167 3,327 3,501 9,981 431,401 1,294,203 3,882,609

Collatz Trajectory (216 steps to reach 1)

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

3,882,609 11,647,828 5,823,914 2,911,957 8,735,872 4,367,936 2,183,968 1,091,984 545,992 272,996 136,498 68,249 204,748 102,374 51,187 153,562 76,781 230,344 115,172 57,586 28,793 86,380 43,190 21,595 64,786 32,393 97,180 48,590 24,295 72,886 36,443 109,330 54,665 163,996 81,998 40,999 122,998 61,499 184,498 92,249 276,748 138,374 69,187 207,562 103,781 311,344 155,672 77,836 38,918 19,459 58,378 29,189 87,568 43,784 21,892 10,946 5,473 16,420 8,210 4,105

More profiles

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