The number 1330
1330 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 7 × 19. Divisors (16): 1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, 1330.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1330: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 7.
- 2
1330 is composite. Its prime factorisation is
- 3
The divisors add up to 2880; without 1330 itself that is 1550, so 1330 is abundant (1550 is more than 1330). Euler's totient φ(1330) = 432 numbers up to 1330 share no factor with it.
- 4
The digits of 1330 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 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1330 = 2 \times 5 \times 7 \times 19 \]
1330 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 2880 |
| Euler totient φ(n) | 432 |
| Square | 1768900 |
| Cube | 2352637000 |
| Square root | 36.469165 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 52 |
| Scientific notation | 1.33 × |
1330 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and thirty |
| Roman numerals | MCCCXXX |
| Binary (base 2) | 10100110010 |
| Octal (base 8) | 2462 |
| Hexadecimal (base 16) | 532 |
| Base 3 | 1211021 |
| As time | 1330 seconds = 22 min 10 s |
Is 1330 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1330 ÷ 2 = 665) | 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 (1330 ÷ 5 = 266) | 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 | Yes (1330 ÷ 7 = 190) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (1330 ÷ 10 = 133) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 1330 a prime number?
No. 1330 = 2 × 5 × 7 × 19, so it is divisible by 2.
What are the factors of 1330?
1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, 1330.
What is 1330 in binary?
10100110010 (hexadecimal 532, octal 2462).
What is the square root of 1330?
About 36.4692.
What is 1330 in Roman numerals?
MCCCXXX.
Is 1330 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 1330?
1330 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 7.