The number 730
730 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 73. Divisors (8): 1, 2, 5, 10, 73, 146, 365, 730.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 730: a Harshad number: divisible by its digit sum 10.
- 2
730 is composite. Its prime factorisation is
- 3
The divisors add up to 1332; without 730 itself that is 602, so 730 is deficient (602 is less than 730). Euler's totient φ(730) = 288 numbers up to 730 share no factor with it.
- 4
The digits of 730 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 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 730 = 2 \times 5 \times 73 \]
730 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 1332 |
| Euler totient φ(n) | 288 |
| Square | 532900 |
| Cube | 389017000 |
| Square root | 27.018512 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 95 |
| Scientific notation | 7.3 × |
730 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and thirty |
| Roman numerals | DCCXXX |
| Binary (base 2) | 1011011010 |
| Octal (base 8) | 1332 |
| Hexadecimal (base 16) | 2DA |
| Base 3 | 1000001 |
| As time | 730 seconds = 12 min 10 s |
Is 730 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (730 ÷ 2 = 365) | 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 (730 ÷ 5 = 146) | 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 2) | 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 (730 ÷ 10 = 73) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 730 a prime number?
No. 730 = 2 × 5 × 73, so it is divisible by 2.
What are the factors of 730?
1, 2, 5, 10, 73, 146, 365, 730.
What is 730 in binary?
1011011010 (hexadecimal 2DA, octal 1332).
What is the square root of 730?
About 27.0185.
What is 730 in Roman numerals?
DCCXXX.
Is 730 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 730?
730 is a Harshad number: divisible by its digit sum 10.