The number 74167
74167 is the 7317th prime number. Its only divisors are 1 and 74167.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74167: the 7317th prime number.
- 2
74167 is prime, so its only factors are 1 and 74167. It is the 7317th prime; the next prime is 74177 and the one before is 74161.
- 3
The divisors add up to 74168; without 74167 itself that is 1, so 74167 is deficient (1 is less than 74167). Euler's totient φ(74167) = 74166 numbers up to 74167 share no factor with it.
- 4
The digits of 74167 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
74167 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 74168 |
| Euler totient φ(n) | 74166 |
| Square | 5500743889 |
| Cube | 407973672015463 |
| Square root | 272.336189 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.4167 × |
74167 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand one hundred and sixty-seven |
| Binary (base 2) | 10010000110110111 |
| Octal (base 8) | 220667 |
| Hexadecimal (base 16) | 121B7 |
| Base 3 | 10202201221 |
| As time | 74167 seconds = 20 h 36 min 7 s |
Is 74167 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 2) | 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 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 7) | 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 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 74167 a prime number?
Yes. 74167 is divisible only by 1 and itself.
What are the factors of 74167?
1, 74167.
What is 74167 in binary?
10010000110110111 (hexadecimal 121B7, octal 220667).
What is the square root of 74167?
About 272.3362.
Is 74167 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 74167?
74167 is the 7317th prime number.