The number 13054
13054 is a composite number with 8 divisors. Its prime factorisation is 2 × 61 × 107. Divisors (8): 1, 2, 61, 107, 122, 214, 6527, 13054.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13054 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13054 is composite. Its prime factorisation is
- 3
The divisors add up to 20088; without 13054 itself that is 7034, so 13054 is deficient (7034 is less than 13054). Euler's totient φ(13054) = 6360 numbers up to 13054 share no factor with it.
- 4
The digits of 13054 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13054 = 2 \times 61 \times 107 \]
13054 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 20088 |
| Euler totient φ(n) | 6360 |
| Square | 170406916 |
| Cube | 2224491881464 |
| Square root | 114.254103 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.3054 × |
13054 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and fifty-four |
| Binary (base 2) | 11001011111110 |
| Octal (base 8) | 31376 |
| Hexadecimal (base 16) | 32FE |
| Base 3 | 122220111 |
| As time | 13054 seconds = 3 h 37 min 34 s |
Is 13054 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13054 ÷ 2 = 6527) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13054 a prime number?
No. 13054 = 2 × 61 × 107, so it is divisible by 2.
What are the factors of 13054?
1, 2, 61, 107, 122, 214, 6527, 13054.
What is 13054 in binary?
11001011111110 (hexadecimal 32FE, octal 31376).
What is the square root of 13054?
About 114.2541.
Is 13054 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 13054?
It is a composite number with 8 divisors.