6,735,740

2² × 5 × 11 × 17 × 1801

Starting at 6,735,740, the Collatz iteration reaches 1 after 222 steps. The first transition is 3367870; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 17 × 1801

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 16,347,744

Proper Divisor Sum 9,612,004

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #6735733 ← → #6735749

Radix Representation

Decimal	6735740
Binary	11001101100011101111100 (23 bits)
Octal	0o31543574
Hexadecimal	0x66C77C

Divisor Catalog (48)

1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1,801 1,870 3,602 3,740 7,204 9,005 18,010 19,811 30,617 36,020 39,622 61,234 79,244 99,055 122,468 153,085 198,110 306,170 336,787 396,220 612,340 673,574 1,347,148 1,683,935 3,367,870 6,735,740

Collatz Trajectory (222 steps to reach 1)

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

6,735,740 3,367,870 1,683,935 5,051,806 2,525,903 7,577,710 3,788,855 11,366,566 5,683,283 17,049,850 8,524,925 25,574,776 12,787,388 6,393,694 3,196,847 9,590,542 4,795,271 14,385,814 7,192,907 21,578,722 10,789,361 32,368,084 16,184,042 8,092,021 24,276,064 12,138,032 6,069,016 3,034,508 1,517,254 758,627 2,275,882 1,137,941 3,413,824 1,706,912 853,456 426,728 213,364 106,682 53,341 160,024 80,012 40,006 20,003 60,010 30,005 90,016 45,008 22,504 11,252 5,626 2,813 8,440 4,220 2,110 1,055 3,166 1,583 4,750 2,375 7,126

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