The number 37421
37421 is a composite number with 4 divisors. Its prime factorisation is 23 × 1627. Divisors (4): 1, 23, 1627, 37421.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37421: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 23 × 1627, the product of two primes.
- 2
37421 is composite. Its prime factorisation is
- 3
The divisors add up to 39072; without 37421 itself that is 1651, so 37421 is deficient (1651 is less than 37421). Euler's totient φ(37421) = 35772 numbers up to 37421 share no factor with it.
- 4
The digits of 37421 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 199 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37421 = 23 \times 1627 \]
37421 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 39072 |
| Euler totient φ(n) | 35772 |
| Square | 1400331241 |
| Cube | 52401795369461 |
| Square root | 193.445083 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 199 |
| Scientific notation | 3.7421 × |
37421 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand four hundred and twenty-one |
| Binary (base 2) | 1001001000101101 |
| Octal (base 8) | 111055 |
| Hexadecimal (base 16) | 922D |
| Base 3 | 1220022222 |
| As time | 37421 seconds = 10 h 23 min 41 s |
Is 37421 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 6) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 10) | 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 37421 a prime number?
No. 37421 = 23 × 1627, so it is divisible by 23.
What are the factors of 37421?
1, 23, 1627, 37421.
What is 37421 in binary?
1001001000101101 (hexadecimal 922D, octal 111055).
What is the square root of 37421?
About 193.4451.
Is 37421 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 37421?
37421 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 23 × 1627, the product of two primes.