λ
Prime Ledger

3,381,604

22 × 31 × 27271
Deficient Even Composite

3,381,604 has the prime decomposition 2^2 × 31 × 27271. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 31 × 27271
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,108,928
Proper Divisor Sum 2,727,324
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3381569 ← → #3381613

Radix Representation

Decimal 3381604
Binary 1100111001100101100100 (22 bits)
Octal 0o14714544
Hexadecimal 0x339964

Divisor Catalog (12)

1 2 4 31 62 124 27,271 54,542 109,084 845,401 1,690,802 3,381,604

Collatz Trajectory (84 steps to reach 1)

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

3,381,604 1,690,802 845,401 2,536,204 1,268,102 634,051 1,902,154 951,077 2,853,232 1,426,616 713,308 356,654 178,327 534,982 267,491 802,474 401,237 1,203,712 601,856 300,928 150,464 75,232 37,616 18,808 9,404 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268 134 67 202 101

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