The number 13354
13354 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 607. Divisors (8): 1, 2, 11, 22, 607, 1214, 6677, 13354.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13354 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13354 is composite. Its prime factorisation is
- 3
The divisors add up to 21888; without 13354 itself that is 8534, so 13354 is deficient (8534 is less than 13354). Euler's totient φ(13354) = 6060 numbers up to 13354 share no factor with it.
- 4
The digits of 13354 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13354 = 2 \times 11 \times 607 \]
13354 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 21888 |
| Euler totient φ(n) | 6060 |
| Square | 178329316 |
| Cube | 2381409685864 |
| Square root | 115.559508 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3354 × |
13354 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and fifty-four |
| Binary (base 2) | 11010000101010 |
| Octal (base 8) | 32052 |
| Hexadecimal (base 16) | 342A |
| Base 3 | 200022121 |
| As time | 13354 seconds = 3 h 42 min 34 s |
Is 13354 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13354 ÷ 2 = 6677) | 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 5) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | Yes (13354 ÷ 11 = 1214) | 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 13354 a prime number?
No. 13354 = 2 × 11 × 607, so it is divisible by 2.
What are the factors of 13354?
1, 2, 11, 22, 607, 1214, 6677, 13354.
What is 13354 in binary?
11010000101010 (hexadecimal 342A, octal 32052).
What is the square root of 13354?
About 115.5595.
Is 13354 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 13354?
It is a composite number with 8 divisors.