The number 8801
8801 is a composite number with 4 divisors. Its prime factorisation is 13 × 677. Divisors (4): 1, 13, 677, 8801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8801: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 677, the product of two primes.
- 2
8801 is composite. Its prime factorisation is
- 3
The divisors add up to 9492; without 8801 itself that is 691, so 8801 is deficient (691 is less than 8801). Euler's totient φ(8801) = 8112 numbers up to 8801 share no factor with it.
- 4
The digits of 8801 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8801 = 13 \times 677 \]
8801 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 9492 |
| Euler totient φ(n) | 8112 |
| Square | 77457601 |
| Cube | 681704346401 |
| Square root | 93.813645 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 78 |
| Scientific notation | 8.801 × |
8801 in other forms
| Form | Value |
|---|---|
| In words | eight thousand eight hundred and one |
| Binary (base 2) | 10001001100001 |
| Octal (base 8) | 21141 |
| Hexadecimal (base 16) | 2261 |
| Base 3 | 110001222 |
| As time | 8801 seconds = 2 h 26 min 41 s |
Is 8801 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8801 a prime number?
No. 8801 = 13 × 677, so it is divisible by 13.
What are the factors of 8801?
1, 13, 677, 8801.
What is 8801 in binary?
10001001100001 (hexadecimal 2261, octal 21141).
What is the square root of 8801?
About 93.8136.
Is 8801 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 8801?
8801 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 677, the product of two primes.