The number 7489
7489 is a twin prime (7487 and 7489 are both prime) and the 949th prime number. Its only divisors are 1 and 7489.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7489: a twin prime (7487 and 7489 are both prime); the 949th prime number.
- 2
7489 is prime, so its only factors are 1 and 7489. It is the 949th prime; the next prime is 7499 and the one before is 7487.
- 3
The divisors add up to 7490; without 7489 itself that is 1, so 7489 is deficient (1 is less than 7489). Euler's totient φ(7489) = 7488 numbers up to 7489 share no factor with it.
- 4
The digits of 7489 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
7489 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 7490 |
| Euler totient φ(n) | 7488 |
| Square | 56085121 |
| Cube | 420021471169 |
| Square root | 86.539009 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 88 |
| Scientific notation | 7.489 × |
7489 in other forms
| Form | Value |
|---|---|
| In words | seven thousand four hundred and eighty-nine |
| Binary (base 2) | 1110101000001 |
| Octal (base 8) | 16501 |
| Hexadecimal (base 16) | 1D41 |
| Base 3 | 101021101 |
| As time | 7489 seconds = 2 h 4 min 49 s |
Is 7489 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 1) | 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 6) | 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 1) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7489 a prime number?
Yes. 7489 is divisible only by 1 and itself.
What are the factors of 7489?
1, 7489.
What is 7489 in binary?
1110101000001 (hexadecimal 1D41, octal 16501).
What is the square root of 7489?
About 86.5390.
Is 7489 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 7489?
7489 is a twin prime (7487 and 7489 are both prime); the 949th prime number.