3,209,481

3² × 11 × 17 × 1907

3,209,481 factors as 3^2 × 11 × 17 × 1907. Its 24 positive divisors give a proper-divisor sum of 2,148,183, so this integer is deficient. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 17 × 1907

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,357,664

Proper Divisor Sum 2,148,183

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3209467 ← → #3209509

Radix Representation

Decimal	3209481
Binary	1100001111100100001001 (22 bits)
Octal	0o14174411
Hexadecimal	0x30F909

Divisor Catalog (24)

Collatz Trajectory (120 steps to reach 1)

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

3,209,481 9,628,444 4,814,222 2,407,111 7,221,334 3,610,667 10,832,002 5,416,001 16,248,004 8,124,002 4,062,001 12,186,004 6,093,002 3,046,501 9,139,504 4,569,752 2,284,876 1,142,438 571,219 1,713,658 856,829 2,570,488 1,285,244 642,622 321,311 963,934 481,967 1,445,902 722,951 2,168,854 1,084,427 3,253,282 1,626,641 4,879,924 2,439,962 1,219,981 3,659,944 1,829,972 914,986 457,493 1,372,480 686,240 343,120 171,560 85,780 42,890 21,445 64,336 32,168 16,084 8,042 4,021 12,064 6,032 3,016 1,508 754 377 1,132 566

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