The number 13554
13554 is a composite number with 16 divisors. Its prime factorisation is 2 × × 251. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 251, 502, 753, 1506, 2259, 4518, 6777, 13554.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13554: a Harshad number: divisible by its digit sum 18.
- 2
13554 is composite. Its prime factorisation is
- 3
The divisors add up to 30240; without 13554 itself that is 16686, so 13554 is abundant (16686 is more than 13554). Euler's totient φ(13554) = 4500 numbers up to 13554 share no factor with it.
- 4
The digits of 13554 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13554 = 2 \times 3^{3} \times 251 \]13554 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 30240 |
| Euler totient φ(n) | 4500 |
| Square | 183710916 |
| Cube | 2490017755464 |
| Square root | 116.421647 (= 3√1506) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.3554 × |
13554 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and fifty-four |
| Binary (base 2) | 11010011110010 |
| Octal (base 8) | 32362 |
| Hexadecimal (base 16) | 34F2 |
| Base 3 | 200121000 |
| As time | 13554 seconds = 3 h 45 min 54 s |
Is 13554 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13554 ÷ 2 = 6777) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13554 ÷ 3 = 4518) | 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 | Yes (13554 ÷ 6 = 2259) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (13554 ÷ 9 = 1506) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13554 a prime number?
No. 13554 = 2 × × 251, so it is divisible by 2.
What are the factors of 13554?
1, 2, 3, 6, 9, 18, 27, 54, 251, 502, 753, 1506, 2259, 4518, 6777, 13554.
What is 13554 in binary?
11010011110010 (hexadecimal 34F2, octal 32362).
What is the square root of 13554?
About 116.4216, exactly 3√1506.
Is 13554 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13554?
13554 is a Harshad number: divisible by its digit sum 18.