λ
Prime Ledger

239,340

22 × 3 × 5 × 3989
Abundant Even Composite

239,340 has the prime decomposition 2^2 × 3 × 5 × 3989. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 3989
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 670,320
Proper Divisor Sum 430,980
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #239333 ← → #239347

Radix Representation

Decimal 239340
Binary 111010011011101100 (18 bits)
Octal 0o723354
Hexadecimal 0x3A6EC

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 3,989 7,978 11,967 15,956 19,945 23,934 39,890 47,868 59,835 79,780 119,670 239,340

Collatz Trajectory (181 steps to reach 1)

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

239,340 119,670 59,835 179,506 89,753 269,260 134,630 67,315 201,946 100,973 302,920 151,460 75,730 37,865 113,596 56,798 28,399 85,198 42,599 127,798 63,899 191,698 95,849 287,548 143,774 71,887 215,662 107,831 323,494 161,747 485,242 242,621 727,864 363,932 181,966 90,983 272,950 136,475 409,426 204,713 614,140 307,070 153,535 460,606 230,303 690,910 345,455 1,036,366 518,183 1,554,550 777,275 2,331,826 1,165,913 3,497,740 1,748,870 874,435 2,623,306 1,311,653 3,934,960 1,967,480

More profiles

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