The number 1481
1481 is a twin prime (1481 and 1483 are both prime) and the 234th prime number. Its only divisors are 1 and 1481.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1481: a twin prime (1481 and 1483 are both prime); the 234th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
1481 is prime, so its only factors are 1 and 1481. It is the 234th prime; the next prime is 1483 and the one before is 1471.
- 3
The divisors add up to 1482; without 1481 itself that is 1, so 1481 is deficient (1 is less than 1481). Euler's totient φ(1481) = 1480 numbers up to 1481 share no factor with it.
- 4
The digits of 1481 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
1481 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1482 |
| Euler totient φ(n) | 1480 |
| Square | 2193361 |
| Cube | 3248367641 |
| Square root | 38.483763 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 34 |
| Scientific notation | 1.481 × |
1481 in other forms
| Form | Value |
|---|---|
| In words | one thousand four hundred and eighty-one |
| Roman numerals | MCDLXXXI |
| Binary (base 2) | 10111001001 |
| Octal (base 8) | 2711 |
| Hexadecimal (base 16) | 5C9 |
| Base 3 | 2000212 |
| As time | 1481 seconds = 24 min 41 s |
Is 1481 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 1) | 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 4) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 1481 a prime number?
Yes. 1481 is divisible only by 1 and itself.
What are the factors of 1481?
1, 1481.
What is 1481 in binary?
10111001001 (hexadecimal 5C9, octal 2711).
What is the square root of 1481?
About 38.4838.
What is 1481 in Roman numerals?
MCDLXXXI.
Is 1481 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 1481?
1481 is a twin prime (1481 and 1483 are both prime); the 234th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.