λ
Sigma Notebook

8,817,765

3 × 5 × 11 × 53441
Deficient Odd Composite

8,817,765 is odd and not a perfect square. Its factorization is 3 × 5 × 11 × 53441 and its 16 divisors sum to 15,391,296.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 53441
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,391,296
Proper Divisor Sum 6,573,531
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8817761 ← → #8817779

Radix Representation

Decimal 8817765
Binary 100001101000110001100101 (24 bits)
Octal 0o41506145
Hexadecimal 0x868C65

Divisor Catalog (16)

1 3 5 11 15 33 55 165 53,441 160,323 267,205 587,851 801,615 1,763,553 2,939,255 8,817,765

Collatz Trajectory (212 steps to reach 1)

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

8,817,765 26,453,296 13,226,648 6,613,324 3,306,662 1,653,331 4,959,994 2,479,997 7,439,992 3,719,996 1,859,998 929,999 2,789,998 1,394,999 4,184,998 2,092,499 6,277,498 3,138,749 9,416,248 4,708,124 2,354,062 1,177,031 3,531,094 1,765,547 5,296,642 2,648,321 7,944,964 3,972,482 1,986,241 5,958,724 2,979,362 1,489,681 4,469,044 2,234,522 1,117,261 3,351,784 1,675,892 837,946 418,973 1,256,920 628,460 314,230 157,115 471,346 235,673 707,020 353,510 176,755 530,266 265,133 795,400 397,700 198,850 99,425 298,276 149,138 74,569 223,708 111,854 55,927

More profiles

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