The number 37122
37122 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 23 × 269. Divisors (16): 1, 2, 3, 6, 23, 46, 69, 138, 269, 538, 807, 1614, 6187, 12374, 18561, 37122.
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How to work it out
- 1
37122 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37122 is composite. Its prime factorisation is
- 3
The divisors add up to 77760; without 37122 itself that is 40638, so 37122 is abundant (40638 is more than 37122). Euler's totient φ(37122) = 11792 numbers up to 37122 share no factor with it.
- 4
The digits of 37122 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37122 = 2 \times 3 \times 23 \times 269 \]
37122 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 77760 |
| Euler totient φ(n) | 11792 |
| Square | 1378042884 |
| Cube | 51155707939848 |
| Square root | 192.670704 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.7122 × |
37122 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand one hundred and twenty-two |
| Binary (base 2) | 1001000100000010 |
| Octal (base 8) | 110402 |
| Hexadecimal (base 16) | 9102 |
| Base 3 | 1212220220 |
| As time | 37122 seconds = 10 h 18 min 42 s |
Is 37122 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37122 ÷ 2 = 18561) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (37122 ÷ 3 = 12374) | 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 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (37122 ÷ 6 = 6187) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37122 a prime number?
No. 37122 = 2 × 3 × 23 × 269, so it is divisible by 2.
What are the factors of 37122?
1, 2, 3, 6, 23, 46, 69, 138, 269, 538, 807, 1614, 6187, 12374, 18561, 37122.
What is 37122 in binary?
1001000100000010 (hexadecimal 9102, octal 110402).
What is the square root of 37122?
About 192.6707.
Is 37122 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 37122?
It is a composite number with 16 divisors.