The number 5754
5754 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 137. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 137, 274, 411, 822, 959, 1918, 2877, 5754.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5754: a Harshad number: divisible by its digit sum 21.
- 2
5754 is composite. Its prime factorisation is
- 3
The divisors add up to 13248; without 5754 itself that is 7494, so 5754 is abundant (7494 is more than 5754). Euler's totient φ(5754) = 1632 numbers up to 5754 share no factor with it.
- 4
The digits of 5754 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5754 = 2 \times 3 \times 7 \times 137 \]
5754 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 13248 |
| Euler totient φ(n) | 1632 |
| Square | 33108516 |
| Cube | 190506401064 |
| Square root | 75.855125 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 54 |
| Scientific notation | 5.754 × |
5754 in other forms
| Form | Value |
|---|---|
| In words | five thousand seven hundred and fifty-four |
| Binary (base 2) | 1011001111010 |
| Octal (base 8) | 13172 |
| Hexadecimal (base 16) | 167A |
| Base 3 | 21220010 |
| As time | 5754 seconds = 1 h 35 min 54 s |
Is 5754 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5754 ÷ 2 = 2877) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5754 ÷ 3 = 1918) | 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 (5754 ÷ 6 = 959) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (5754 ÷ 7 = 822) | 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 3) | 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 1) | 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 5754 a prime number?
No. 5754 = 2 × 3 × 7 × 137, so it is divisible by 2.
What are the factors of 5754?
1, 2, 3, 6, 7, 14, 21, 42, 137, 274, 411, 822, 959, 1918, 2877, 5754.
What is 5754 in binary?
1011001111010 (hexadecimal 167A, octal 13172).
What is the square root of 5754?
About 75.8551.
Is 5754 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 5754?
5754 is a Harshad number: divisible by its digit sum 21.