The number 1310
1310 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 131. Divisors (8): 1, 2, 5, 10, 131, 262, 655, 1310.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1310: a Harshad number: divisible by its digit sum 5.
- 2
1310 is composite. Its prime factorisation is
- 3
The divisors add up to 2376; without 1310 itself that is 1066, so 1310 is deficient (1066 is less than 1310). Euler's totient φ(1310) = 520 numbers up to 1310 share no factor with it.
- 4
The digits of 1310 add up to 5, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1310 = 2 \times 5 \times 131 \]
1310 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2376 |
| Euler totient φ(n) | 520 |
| Square | 1716100 |
| Cube | 2248091000 |
| Square root | 36.193922 |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 145 |
| Scientific notation | 1.31 × |
1310 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and ten |
| Roman numerals | MCCCX |
| Binary (base 2) | 10100011110 |
| Octal (base 8) | 2436 |
| Hexadecimal (base 16) | 51E |
| Base 3 | 1210112 |
| As time | 1310 seconds = 21 min 50 s |
Is 1310 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1310 ÷ 2 = 655) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 (1310 ÷ 5 = 262) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (1310 ÷ 10 = 131) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1310 a prime number?
No. 1310 = 2 × 5 × 131, so it is divisible by 2.
What are the factors of 1310?
1, 2, 5, 10, 131, 262, 655, 1310.
What is 1310 in binary?
10100011110 (hexadecimal 51E, octal 2436).
What is the square root of 1310?
About 36.1939.
What is 1310 in Roman numerals?
MCCCX.
Is 1310 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 1310?
1310 is a Harshad number: divisible by its digit sum 5.