λ
Sequence Observatory

6,524,811

32 × 317 × 2287
Deficient Odd Composite

Starting at 6,524,811, the Collatz iteration reaches 1 after 196 steps. The first transition is 19574434; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 317 × 2287
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,458,592
Proper Divisor Sum 2,933,781
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6524807 ← → #6524831

Radix Representation

Decimal 6524811
Binary 11000111000111110001011 (23 bits)
Octal 0o30707613
Hexadecimal 0x638F8B

Divisor Catalog (12)

1 3 9 317 951 2,287 2,853 6,861 20,583 724,979 2,174,937 6,524,811

Collatz Trajectory (196 steps to reach 1)

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

6,524,811 19,574,434 9,787,217 29,361,652 14,680,826 7,340,413 22,021,240 11,010,620 5,505,310 2,752,655 8,257,966 4,128,983 12,386,950 6,193,475 18,580,426 9,290,213 27,870,640 13,935,320 6,967,660 3,483,830 1,741,915 5,225,746 2,612,873 7,838,620 3,919,310 1,959,655 5,878,966 2,939,483 8,818,450 4,409,225 13,227,676 6,613,838 3,306,919 9,920,758 4,960,379 14,881,138 7,440,569 22,321,708 11,160,854 5,580,427 16,741,282 8,370,641 25,111,924 12,555,962 6,277,981 18,833,944 9,416,972 4,708,486 2,354,243 7,062,730 3,531,365 10,594,096 5,297,048 2,648,524 1,324,262 662,131 1,986,394 993,197 2,979,592 1,489,796

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