3,280,041

3³ × 41 × 2963

Starting at 3,280,041, the Collatz iteration reaches 1 after 239 steps. The first transition is 9840124; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 41 × 2963

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,979,520

Proper Divisor Sum 1,699,479

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3280037 ← → #3280061

Radix Representation

Decimal	3280041
Binary	1100100000110010101001 (22 bits)
Octal	0o14406251
Hexadecimal	0x320CA9

Divisor Catalog (16)

1 3 9 27 41 123 369 1,107 2,963 8,889 26,667 80,001 121,483 364,449 1,093,347 3,280,041

Collatz Trajectory (239 steps to reach 1)

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

3,280,041 9,840,124 4,920,062 2,460,031 7,380,094 3,690,047 11,070,142 5,535,071 16,605,214 8,302,607 24,907,822 12,453,911 37,361,734 18,680,867 56,042,602 28,021,301 84,063,904 42,031,952 21,015,976 10,507,988 5,253,994 2,626,997 7,880,992 3,940,496 1,970,248 985,124 492,562 246,281 738,844 369,422 184,711 554,134 277,067 831,202 415,601 1,246,804 623,402 311,701 935,104 467,552 233,776 116,888 58,444 29,222 14,611 43,834 21,917 65,752 32,876 16,438 8,219 24,658 12,329 36,988 18,494 9,247 27,742 13,871 41,614 20,807

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