The number 54010
54010 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 11 × 491. Divisors (16): 1, 2, 5, 10, 11, 22, 55, 110, 491, 982, 2455, 4910, 5401, 10802, 27005, 54010.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 54010: a Harshad number: divisible by its digit sum 10.
- 2
54010 is composite. Its prime factorisation is
- 3
The divisors add up to 106272; without 54010 itself that is 52262, so 54010 is deficient (52262 is less than 54010). Euler's totient φ(54010) = 19600 numbers up to 54010 share no factor with it.
- 4
The digits of 54010 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54010 = 2 \times 5 \times 11 \times 491 \]
54010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 106272 |
| Euler totient φ(n) | 19600 |
| Square | 2917080100 |
| Cube | 157551496201000 |
| Square root | 232.400516 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.401 × |
54010 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand and ten |
| Binary (base 2) | 1101001011111010 |
| Octal (base 8) | 151372 |
| Hexadecimal (base 16) | D2FA |
| Base 3 | 2202002101 |
| As time | 54010 seconds = 15 h 0 min 10 s |
Is 54010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54010 ÷ 2 = 27005) | 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 | Yes (54010 ÷ 5 = 10802) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (54010 ÷ 10 = 5401) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (54010 ÷ 11 = 4910) | 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 54010 a prime number?
No. 54010 = 2 × 5 × 11 × 491, so it is divisible by 2.
What are the factors of 54010?
1, 2, 5, 10, 11, 22, 55, 110, 491, 982, 2455, 4910, 5401, 10802, 27005, 54010.
What is 54010 in binary?
1101001011111010 (hexadecimal D2FA, octal 151372).
What is the square root of 54010?
About 232.4005.
Is 54010 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 54010?
54010 is a Harshad number: divisible by its digit sum 10.