The number 739
739 is the 131st prime number. Its only divisors are 1 and 739.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 739: the 131st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
739 is prime, so its only factors are 1 and 739. It is the 131st prime; the next prime is 743 and the one before is 733.
- 3
The divisors add up to 740; without 739 itself that is 1, so 739 is deficient (1 is less than 739). Euler's totient φ(739) = 738 numbers up to 739 share no factor with it.
- 4
The digits of 739 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 20 steps to reach 1.
739 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 740 |
| Euler totient φ(n) | 738 |
| Square | 546121 |
| Cube | 403583419 |
| Square root | 27.184554 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 20 |
| Scientific notation | 7.39 × |
739 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and thirty-nine |
| Roman numerals | DCCXXXIX |
| Binary (base 2) | 1011100011 |
| Octal (base 8) | 1343 |
| Hexadecimal (base 16) | 2E3 |
| Base 3 | 1000101 |
| As time | 739 seconds = 12 min 19 s |
Is 739 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 3) | 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 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 739 a prime number?
Yes. 739 is divisible only by 1 and itself.
What are the factors of 739?
1, 739.
What is 739 in binary?
1011100011 (hexadecimal 2E3, octal 1343).
What is the square root of 739?
About 27.1846.
What is 739 in Roman numerals?
DCCXXXIX.
Is 739 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 739?
739 is the 131st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.