The number 2467
2467 is the 365th prime number. Its only divisors are 1 and 2467.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2467: the 365th prime number.
- 2
2467 is prime, so its only factors are 1 and 2467. It is the 365th prime; the next prime is 2473 and the one before is 2459.
- 3
The divisors add up to 2468; without 2467 itself that is 1, so 2467 is deficient (1 is less than 2467). Euler's totient φ(2467) = 2466 numbers up to 2467 share no factor with it.
- 4
The digits of 2467 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 133 steps to reach 1.
2467 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 2468 |
| Euler totient φ(n) | 2466 |
| Square | 6086089 |
| Cube | 15014381563 |
| Square root | 49.668904 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 133 |
| Scientific notation | 2.467 × |
2467 in other forms
| Form | Value |
|---|---|
| In words | two thousand four hundred and sixty-seven |
| Roman numerals | MMCDLXVII |
| Binary (base 2) | 100110100011 |
| Octal (base 8) | 4643 |
| Hexadecimal (base 16) | 9A3 |
| Base 3 | 10101101 |
| As time | 2467 seconds = 41 min 7 s |
Is 2467 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 3) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 2467 a prime number?
Yes. 2467 is divisible only by 1 and itself.
What are the factors of 2467?
1, 2467.
What is 2467 in binary?
100110100011 (hexadecimal 9A3, octal 4643).
What is the square root of 2467?
About 49.6689.
What is 2467 in Roman numerals?
MMCDLXVII.
Is 2467 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 2467?
2467 is the 365th prime number.