The number 10801
10801 is a palindrome: it reads 10801 backwards too. Its prime factorisation is 7 × 1543. Divisors (4): 1, 7, 1543, 10801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10801: a palindrome: it reads 10801 backwards too; a semiprime: 7 × 1543, the product of two primes.
- 2
10801 is composite. Its prime factorisation is
- 3
The divisors add up to 12352; without 10801 itself that is 1551, so 10801 is deficient (1551 is less than 10801). Euler's totient φ(10801) = 9252 numbers up to 10801 share no factor with it.
- 4
The digits of 10801 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10801 = 7 \times 1543 \]
10801 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 12352 |
| Euler totient φ(n) | 9252 |
| Square | 116661601 |
| Cube | 1260061952401 |
| Square root | 103.927860 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 161 |
| Scientific notation | 1.0801 × |
10801 in other forms
| Form | Value |
|---|---|
| In words | ten thousand eight hundred and one |
| Binary (base 2) | 10101000110001 |
| Octal (base 8) | 25061 |
| Hexadecimal (base 16) | 2A31 |
| Base 3 | 112211001 |
| As time | 10801 seconds = 3 h 0 min 1 s |
Is 10801 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (10801 ÷ 7 = 1543) | 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 1) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10801 a prime number?
No. 10801 = 7 × 1543, so it is divisible by 7.
What are the factors of 10801?
1, 7, 1543, 10801.
What is 10801 in binary?
10101000110001 (hexadecimal 2A31, octal 25061).
What is the square root of 10801?
About 103.9279.
Is 10801 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 10801?
10801 is a palindrome: it reads 10801 backwards too; a semiprime: 7 × 1543, the product of two primes.