λ
Prime Ledger

3,212,889

3 × 107 × 10009
Deficient Odd Composite

3,212,889 has the prime decomposition 3 × 107 × 10009. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 107 × 10009
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,324,320
Proper Divisor Sum 1,111,431
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3212863 ← → #3212927

Radix Representation

Decimal 3212889
Binary 1100010000011001011001 (22 bits)
Octal 0o14203131
Hexadecimal 0x310659

Divisor Catalog (8)

1 3 107 321 10,009 30,027 1,070,963 3,212,889

Collatz Trajectory (146 steps to reach 1)

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

3,212,889 9,638,668 4,819,334 2,409,667 7,229,002 3,614,501 10,843,504 5,421,752 2,710,876 1,355,438 677,719 2,033,158 1,016,579 3,049,738 1,524,869 4,574,608 2,287,304 1,143,652 571,826 285,913 857,740 428,870 214,435 643,306 321,653 964,960 482,480 241,240 120,620 60,310 30,155 90,466 45,233 135,700 67,850 33,925 101,776 50,888 25,444 12,722 6,361 19,084 9,542 4,771 14,314 7,157 21,472 10,736 5,368 2,684 1,342 671 2,014 1,007 3,022 1,511 4,534 2,267 6,802 3,401

More profiles

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