The number 3467
3467 is a twin prime (3467 and 3469 are both prime) and the 486th prime number. Its only divisors are 1 and 3467.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3467: a twin prime (3467 and 3469 are both prime); the 486th prime number.
- 2
3467 is prime, so its only factors are 1 and 3467. It is the 486th prime; the next prime is 3469 and the one before is 3463.
- 3
The divisors add up to 3468; without 3467 itself that is 1, so 3467 is deficient (1 is less than 3467). Euler's totient φ(3467) = 3466 numbers up to 3467 share no factor with it.
- 4
The digits of 3467 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 149 steps to reach 1.
3467 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3468 |
| Euler totient φ(n) | 3466 |
| Square | 12020089 |
| Cube | 41673648563 |
| Square root | 58.881236 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 149 |
| Scientific notation | 3.467 × |
3467 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and sixty-seven |
| Roman numerals | MMMCDLXVII |
| Binary (base 2) | 110110001011 |
| Octal (base 8) | 6613 |
| Hexadecimal (base 16) | D8B |
| Base 3 | 11202102 |
| As time | 3467 seconds = 57 min 47 s |
Is 3467 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 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3467 a prime number?
Yes. 3467 is divisible only by 1 and itself.
What are the factors of 3467?
1, 3467.
What is 3467 in binary?
110110001011 (hexadecimal D8B, octal 6613).
What is the square root of 3467?
About 58.8812.
What is 3467 in Roman numerals?
MMMCDLXVII.
Is 3467 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 3467?
3467 is a twin prime (3467 and 3469 are both prime); the 486th prime number.