The number 5410
5410 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 541. Divisors (8): 1, 2, 5, 10, 541, 1082, 2705, 5410.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5410: a Harshad number: divisible by its digit sum 10.
- 2
5410 is composite. Its prime factorisation is
- 3
The divisors add up to 9756; without 5410 itself that is 4346, so 5410 is deficient (4346 is less than 5410). Euler's totient φ(5410) = 2160 numbers up to 5410 share no factor with it.
- 4
The digits of 5410 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 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5410 = 2 \times 5 \times 541 \]
5410 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 9756 |
| Euler totient φ(n) | 2160 |
| Square | 29268100 |
| Cube | 158340421000 |
| Square root | 73.552702 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 41 |
| Scientific notation | 5.41 × |
5410 in other forms
| Form | Value |
|---|---|
| In words | five thousand four hundred and ten |
| Binary (base 2) | 1010100100010 |
| Octal (base 8) | 12442 |
| Hexadecimal (base 16) | 1522 |
| Base 3 | 21102101 |
| As time | 5410 seconds = 1 h 30 min 10 s |
Is 5410 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5410 ÷ 2 = 2705) | 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 (5410 ÷ 5 = 1082) | 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 6) | 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 (5410 ÷ 10 = 541) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 5410 a prime number?
No. 5410 = 2 × 5 × 541, so it is divisible by 2.
What are the factors of 5410?
1, 2, 5, 10, 541, 1082, 2705, 5410.
What is 5410 in binary?
1010100100010 (hexadecimal 1522, octal 12442).
What is the square root of 5410?
About 73.5527.
Is 5410 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 5410?
5410 is a Harshad number: divisible by its digit sum 10.