The number 54744
54744 is a composite number with 16 divisors. Its prime factorisation is × 3 × 2281. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 2281, 4562, 6843, 9124, 13686, 18248, 27372, 54744.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 54744: a Harshad number: divisible by its digit sum 24.
- 2
54744 is composite. Its prime factorisation is
- 3
The divisors add up to 136920; without 54744 itself that is 82176, so 54744 is abundant (82176 is more than 54744). Euler's totient φ(54744) = 18240 numbers up to 54744 share no factor with it.
- 4
The digits of 54744 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54744 = 2^{3} \times 3 \times 2281 \]54744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 136920 |
| Euler totient φ(n) | 18240 |
| Square | 2996905536 |
| Cube | 164062596662784 |
| Square root | 233.974358 (= 2√13686) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.4744 × |
54744 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand seven hundred and forty-four |
| Binary (base 2) | 1101010111011000 |
| Octal (base 8) | 152730 |
| Hexadecimal (base 16) | D5D8 |
| Base 3 | 2210002120 |
| As time | 54744 seconds = 15 h 12 min 24 s |
Is 54744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54744 ÷ 2 = 27372) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54744 ÷ 3 = 18248) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (54744 ÷ 4 = 13686) | 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 (54744 ÷ 6 = 9124) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (54744 ÷ 8 = 6843) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (54744 ÷ 12 = 4562) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54744 a prime number?
No. 54744 = × 3 × 2281, so it is divisible by 2.
What are the factors of 54744?
1, 2, 3, 4, 6, 8, 12, 24, 2281, 4562, 6843, 9124, 13686, 18248, 27372, 54744.
What is 54744 in binary?
1101010111011000 (hexadecimal D5D8, octal 152730).
What is the square root of 54744?
About 233.9744, exactly 2√13686.
Is 54744 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 54744?
54744 is a Harshad number: divisible by its digit sum 24.