The number 5010
5010 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 167. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 167, 334, 501, 835, 1002, 1670, 2505, 5010.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5010: a Harshad number: divisible by its digit sum 6.
- 2
5010 is composite. Its prime factorisation is
- 3
The divisors add up to 12096; without 5010 itself that is 7086, so 5010 is abundant (7086 is more than 5010). Euler's totient φ(5010) = 1328 numbers up to 5010 share no factor with it.
- 4
The digits of 5010 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5010 = 2 \times 3 \times 5 \times 167 \]
5010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 12096 |
| Euler totient φ(n) | 1328 |
| Square | 25100100 |
| Cube | 125751501000 |
| Square root | 70.781353 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 90 |
| Scientific notation | 5.01 × |
5010 in other forms
| Form | Value |
|---|---|
| In words | five thousand and ten |
| Binary (base 2) | 1001110010010 |
| Octal (base 8) | 11622 |
| Hexadecimal (base 16) | 1392 |
| Base 3 | 20212120 |
| As time | 5010 seconds = 1 h 23 min 30 s |
Is 5010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5010 ÷ 2 = 2505) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5010 ÷ 3 = 1670) | 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 (5010 ÷ 5 = 1002) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (5010 ÷ 6 = 835) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (5010 ÷ 10 = 501) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 5010 a prime number?
No. 5010 = 2 × 3 × 5 × 167, so it is divisible by 2.
What are the factors of 5010?
1, 2, 3, 5, 6, 10, 15, 30, 167, 334, 501, 835, 1002, 1670, 2505, 5010.
What is 5010 in binary?
1001110010010 (hexadecimal 1392, octal 11622).
What is the square root of 5010?
About 70.7814.
Is 5010 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 5010?
5010 is a Harshad number: divisible by its digit sum 6.