The number 37630
37630 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 53 × 71. Divisors (16): 1, 2, 5, 10, 53, 71, 106, 142, 265, 355, 530, 710, 3763, 7526, 18815, 37630.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37630: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
37630 is composite. Its prime factorisation is
- 3
The divisors add up to 69984; without 37630 itself that is 32354, so 37630 is deficient (32354 is less than 37630). Euler's totient φ(37630) = 14560 numbers up to 37630 share no factor with it.
- 4
The digits of 37630 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 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37630 = 2 \times 5 \times 53 \times 71 \]
37630 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 69984 |
| Euler totient φ(n) | 14560 |
| Square | 1416016900 |
| Cube | 53284715947000 |
| Square root | 193.984535 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.763 × |
37630 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand six hundred and thirty |
| Binary (base 2) | 1001001011111110 |
| Octal (base 8) | 111376 |
| Hexadecimal (base 16) | 92FE |
| Base 3 | 1220121201 |
| As time | 37630 seconds = 10 h 27 min 10 s |
Is 37630 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37630 ÷ 2 = 18815) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (37630 ÷ 5 = 7526) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 6) | 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 | Yes (37630 ÷ 10 = 3763) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37630 a prime number?
No. 37630 = 2 × 5 × 53 × 71, so it is divisible by 2.
What are the factors of 37630?
1, 2, 5, 10, 53, 71, 106, 142, 265, 355, 530, 710, 3763, 7526, 18815, 37630.
What is 37630 in binary?
1001001011111110 (hexadecimal 92FE, octal 111376).
What is the square root of 37630?
About 193.9845.
Is 37630 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 37630?
37630 is a happy number: repeatedly adding the squares of its digits reaches 1.