The number 37130
37130 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 47 × 79. Divisors (16): 1, 2, 5, 10, 47, 79, 94, 158, 235, 395, 470, 790, 3713, 7426, 18565, 37130.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37130: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
37130 is composite. Its prime factorisation is
- 3
The divisors add up to 69120; without 37130 itself that is 31990, so 37130 is deficient (31990 is less than 37130). Euler's totient φ(37130) = 14352 numbers up to 37130 share no factor with it.
- 4
The digits of 37130 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 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37130 = 2 \times 5 \times 47 \times 79 \]
37130 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 69120 |
| Euler totient φ(n) | 14352 |
| Square | 1378636900 |
| Cube | 51188788097000 |
| Square root | 192.691463 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.713 × |
37130 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand one hundred and thirty |
| Binary (base 2) | 1001000100001010 |
| Octal (base 8) | 110412 |
| Hexadecimal (base 16) | 910A |
| Base 3 | 1212221012 |
| As time | 37130 seconds = 10 h 18 min 50 s |
Is 37130 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37130 ÷ 2 = 18565) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (37130 ÷ 5 = 7426) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | 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 | Yes (37130 ÷ 10 = 3713) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37130 a prime number?
No. 37130 = 2 × 5 × 47 × 79, so it is divisible by 2.
What are the factors of 37130?
1, 2, 5, 10, 47, 79, 94, 158, 235, 395, 470, 790, 3713, 7426, 18565, 37130.
What is 37130 in binary?
1001000100001010 (hexadecimal 910A, octal 110412).
What is the square root of 37130?
About 192.6915.
Is 37130 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 37130?
37130 is a happy number: repeatedly adding the squares of its digits reaches 1.