The number 1510
1510 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 151. Divisors (8): 1, 2, 5, 10, 151, 302, 755, 1510.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1510 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1510 is composite. Its prime factorisation is
- 3
The divisors add up to 2736; without 1510 itself that is 1226, so 1510 is deficient (1226 is less than 1510). Euler's totient φ(1510) = 600 numbers up to 1510 share no factor with it.
- 4
The digits of 1510 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1510 = 2 \times 5 \times 151 \]
1510 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2736 |
| Euler totient φ(n) | 600 |
| Square | 2280100 |
| Cube | 3442951000 |
| Square root | 38.858718 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 65 |
| Scientific notation | 1.51 × |
1510 in other forms
| Form | Value |
|---|---|
| In words | one thousand five hundred and ten |
| Roman numerals | MDX |
| Binary (base 2) | 10111100110 |
| Octal (base 8) | 2746 |
| Hexadecimal (base 16) | 5E6 |
| Base 3 | 2001221 |
| As time | 1510 seconds = 25 min 10 s |
Is 1510 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1510 ÷ 2 = 755) | 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 (1510 ÷ 5 = 302) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (1510 ÷ 10 = 151) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 1510 a prime number?
No. 1510 = 2 × 5 × 151, so it is divisible by 2.
What are the factors of 1510?
1, 2, 5, 10, 151, 302, 755, 1510.
What is 1510 in binary?
10111100110 (hexadecimal 5E6, octal 2746).
What is the square root of 1510?
About 38.8587.
What is 1510 in Roman numerals?
MDX.
Is 1510 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 1510?
It is a composite number with 8 divisors.