The number 3463
3463 is a twin prime (3461 and 3463 are both prime) and the 485th prime number. Its only divisors are 1 and 3463.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3463: a twin prime (3461 and 3463 are both prime); the 485th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3463 is prime, so its only factors are 1 and 3463. It is the 485th prime; the next prime is 3467 and the one before is 3461.
- 3
The divisors add up to 3464; without 3463 itself that is 1, so 3463 is deficient (1 is less than 3463). Euler's totient φ(3463) = 3462 numbers up to 3463 share no factor with it.
- 4
The digits of 3463 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 105 steps to reach 1.
3463 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3464 |
| Euler totient φ(n) | 3462 |
| Square | 11992369 |
| Cube | 41529573847 |
| Square root | 58.847260 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 105 |
| Scientific notation | 3.463 × |
3463 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and sixty-three |
| Roman numerals | MMMCDLXIII |
| Binary (base 2) | 110110000111 |
| Octal (base 8) | 6607 |
| Hexadecimal (base 16) | D87 |
| Base 3 | 11202021 |
| As time | 3463 seconds = 57 min 43 s |
Is 3463 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 3) | 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 5) | 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 3) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3463 a prime number?
Yes. 3463 is divisible only by 1 and itself.
What are the factors of 3463?
1, 3463.
What is 3463 in binary?
110110000111 (hexadecimal D87, octal 6607).
What is the square root of 3463?
About 58.8473.
What is 3463 in Roman numerals?
MMMCDLXIII.
Is 3463 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 3463?
3463 is a twin prime (3461 and 3463 are both prime); the 485th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.