The number 74489
74489 is the 7347th prime number. Its only divisors are 1 and 74489.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74489: the 7347th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74489 is prime, so its only factors are 1 and 74489. It is the 7347th prime; the next prime is 74507 and the one before is 74471.
- 3
The divisors add up to 74490; without 74489 itself that is 1, so 74489 is deficient (1 is less than 74489). Euler's totient φ(74489) = 74488 numbers up to 74489 share no factor with it.
- 4
The digits of 74489 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
74489 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 74490 |
| Euler totient φ(n) | 74488 |
| Square | 5548611121 |
| Cube | 413310493792169 |
| Square root | 272.926730 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.4489 × |
74489 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand four hundred and eighty-nine |
| Binary (base 2) | 10010001011111001 |
| Octal (base 8) | 221371 |
| Hexadecimal (base 16) | 122F9 |
| Base 3 | 10210011212 |
| As time | 74489 seconds = 20 h 41 min 29 s |
Is 74489 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 2) | 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 5) | 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 1) | 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 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74489 a prime number?
Yes. 74489 is divisible only by 1 and itself.
What are the factors of 74489?
1, 74489.
What is 74489 in binary?
10010001011111001 (hexadecimal 122F9, octal 221371).
What is the square root of 74489?
About 272.9267.
Is 74489 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 74489?
74489 is the 7347th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.