λ
Prime Ledger

3,238,389

32 × 7 × 11 × 4673
Deficient Odd Composite

3,238,389 has the prime decomposition 3^2 × 7 × 11 × 4673. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 11 × 4673
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,833,152
Proper Divisor Sum 2,594,763
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3238357 ← → #3238393

Radix Representation

Decimal 3238389
Binary 1100010110100111110101 (22 bits)
Octal 0o14264765
Hexadecimal 0x3169F5

Divisor Catalog (24)

1 3 7 9 11 21 33 63 77 99 231 693 4,673 14,019 32,711 42,057 51,403 98,133 154,209 294,399 359,821 462,627 1,079,463 3,238,389

Collatz Trajectory (208 steps to reach 1)

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

3,238,389 9,715,168 4,857,584 2,428,792 1,214,396 607,198 303,599 910,798 455,399 1,366,198 683,099 2,049,298 1,024,649 3,073,948 1,536,974 768,487 2,305,462 1,152,731 3,458,194 1,729,097 5,187,292 2,593,646 1,296,823 3,890,470 1,945,235 5,835,706 2,917,853 8,753,560 4,376,780 2,188,390 1,094,195 3,282,586 1,641,293 4,923,880 2,461,940 1,230,970 615,485 1,846,456 923,228 461,614 230,807 692,422 346,211 1,038,634 519,317 1,557,952 778,976 389,488 194,744 97,372 48,686 24,343 73,030 36,515 109,546 54,773 164,320 82,160 41,080 20,540

More profiles

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