λ
Sigma Notebook

8,639,565

3 × 5 × 11 × 52361
Deficient Odd Composite

8,639,565 is odd and not a perfect square. Its factorization is 3 × 5 × 11 × 52361 and its 16 divisors sum to 15,080,256.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 52361
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,080,256
Proper Divisor Sum 6,440,691
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8639563 ← → #8639567

Radix Representation

Decimal 8639565
Binary 100000111101010001001101 (24 bits)
Octal 0o40752115
Hexadecimal 0x83D44D

Divisor Catalog (16)

1 3 5 11 15 33 55 165 52,361 157,083 261,805 575,971 785,415 1,727,913 2,879,855 8,639,565

Collatz Trajectory (199 steps to reach 1)

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

8,639,565 25,918,696 12,959,348 6,479,674 3,239,837 9,719,512 4,859,756 2,429,878 1,214,939 3,644,818 1,822,409 5,467,228 2,733,614 1,366,807 4,100,422 2,050,211 6,150,634 3,075,317 9,225,952 4,612,976 2,306,488 1,153,244 576,622 288,311 864,934 432,467 1,297,402 648,701 1,946,104 973,052 486,526 243,263 729,790 364,895 1,094,686 547,343 1,642,030 821,015 2,463,046 1,231,523 3,694,570 1,847,285 5,541,856 2,770,928 1,385,464 692,732 346,366 173,183 519,550 259,775 779,326 389,663 1,168,990 584,495 1,753,486 876,743 2,630,230 1,315,115 3,945,346 1,972,673

More profiles

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