3,226,209

3 × 7² × 17 × 1291

3,226,209 has the prime decomposition 3 × 7^2 × 17 × 1291. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 7^2 × 17 × 1291

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,302,368

Proper Divisor Sum 2,076,159

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3226207 ← → #3226217

Radix Representation

Decimal	3226209
Binary	1100010011101001100001 (22 bits)
Octal	0o14235141
Hexadecimal	0x313A61

Divisor Catalog (24)

1 3 7 17 21 49 51 119 147 357 833 1,291 2,499 3,873 9,037 21,947 27,111 63,259 65,841 153,629 189,777 460,887 1,075,403 3,226,209

Collatz Trajectory (120 steps to reach 1)

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

3,226,209 9,678,628 4,839,314 2,419,657 7,258,972 3,629,486 1,814,743 5,444,230 2,722,115 8,166,346 4,083,173 12,249,520 6,124,760 3,062,380 1,531,190 765,595 2,296,786 1,148,393 3,445,180 1,722,590 861,295 2,583,886 1,291,943 3,875,830 1,937,915 5,813,746 2,906,873 8,720,620 4,360,310 2,180,155 6,540,466 3,270,233 9,810,700 4,905,350 2,452,675 7,358,026 3,679,013 11,037,040 5,518,520 2,759,260 1,379,630 689,815 2,069,446 1,034,723 3,104,170 1,552,085 4,656,256 2,328,128 1,164,064 582,032 291,016 145,508 72,754 36,377 109,132 54,566 27,283 81,850 40,925 122,776

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