3,290,100

2² × 3 × 5² × 11 × 997

Starting at 3,290,100, the Collatz iteration reaches 1 after 208 steps. The first transition is 1645050; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 11 × 997

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 10,395,168

Proper Divisor Sum 7,105,068

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #3290093 ← → #3290107

Radix Representation

Decimal	3290100
Binary	1100100011001111110100 (22 bits)
Octal	0o14431764
Hexadecimal	0x3233F4

Divisor Catalog (60 of 72)

1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 997 1,100 1,650 1,994 2,991 3,300 3,988 4,985 5,982 9,970 10,967 11,964 14,955 19,940 21,934 24,925 29,910 32,901 43,868 49,850 54,835 59,820 65,802 74,775 99,700 109,670 131,604

Collatz Trajectory (208 steps to reach 1)

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

3,290,100 1,645,050 822,525 2,467,576 1,233,788 616,894 308,447 925,342 462,671 1,388,014 694,007 2,082,022 1,041,011 3,123,034 1,561,517 4,684,552 2,342,276 1,171,138 585,569 1,756,708 878,354 439,177 1,317,532 658,766 329,383 988,150 494,075 1,482,226 741,113 2,223,340 1,111,670 555,835 1,667,506 833,753 2,501,260 1,250,630 625,315 1,875,946 937,973 2,813,920 1,406,960 703,480 351,740 175,870 87,935 263,806 131,903 395,710 197,855 593,566 296,783 890,350 445,175 1,335,526 667,763 2,003,290 1,001,645 3,004,936 1,502,468 751,234

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