The number 54729
54729 is a composite number with 8 divisors. Its prime factorisation is × 2027. Divisors (8): 1, 3, 9, 27, 2027, 6081, 18243, 54729.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 54729: a Harshad number: divisible by its digit sum 27.
- 2
54729 is composite. Its prime factorisation is
- 3
The divisors add up to 81120; without 54729 itself that is 26391, so 54729 is deficient (26391 is less than 54729). Euler's totient φ(54729) = 36468 numbers up to 54729 share no factor with it.
- 4
The digits of 54729 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54729 = 3^{3} \times 2027 \]54729 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 81120 |
| Euler totient φ(n) | 36468 |
| Square | 2995263441 |
| Cube | 163927772862489 |
| Square root | 233.942301 (= 3√6081) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.4729 × |
54729 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand seven hundred and twenty-nine |
| Binary (base 2) | 1101010111001001 |
| Octal (base 8) | 152711 |
| Hexadecimal (base 16) | D5C9 |
| Base 3 | 2210002000 |
| As time | 54729 seconds = 15 h 12 min 9 s |
Is 54729 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54729 ÷ 3 = 18243) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (54729 ÷ 9 = 6081) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54729 a prime number?
No. 54729 = × 2027, so it is divisible by 3.
What are the factors of 54729?
1, 3, 9, 27, 2027, 6081, 18243, 54729.
What is 54729 in binary?
1101010111001001 (hexadecimal D5C9, octal 152711).
What is the square root of 54729?
About 233.9423, exactly 3√6081.
Is 54729 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 54729?
54729 is a Harshad number: divisible by its digit sum 27.