The number 37481
37481 is a composite number with 4 divisors. Its prime factorisation is 37 × 1013. Divisors (4): 1, 37, 1013, 37481.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37481: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 37 × 1013, the product of two primes.
- 2
37481 is composite. Its prime factorisation is
- 3
The divisors add up to 38532; without 37481 itself that is 1051, so 37481 is deficient (1051 is less than 37481). Euler's totient φ(37481) = 36432 numbers up to 37481 share no factor with it.
- 4
The digits of 37481 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37481 = 37 \times 1013 \]
37481 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 38532 |
| Euler totient φ(n) | 36432 |
| Square | 1404825361 |
| Cube | 52654259355641 |
| Square root | 193.600103 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.7481 × |
37481 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand four hundred and eighty-one |
| Binary (base 2) | 1001001001101001 |
| Octal (base 8) | 111151 |
| Hexadecimal (base 16) | 9269 |
| Base 3 | 1220102012 |
| As time | 37481 seconds = 10 h 24 min 41 s |
Is 37481 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 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 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 4) | 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 37481 a prime number?
No. 37481 = 37 × 1013, so it is divisible by 37.
What are the factors of 37481?
1, 37, 1013, 37481.
What is 37481 in binary?
1001001001101001 (hexadecimal 9269, octal 111151).
What is the square root of 37481?
About 193.6001.
Is 37481 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 37481?
37481 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 37 × 1013, the product of two primes.