The number 37422
37422 is a composite number with 48 divisors. Its prime factorisation is 2 × × 7 × 11. Divisors (48): 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 27, 33, 42, 54, 63 … 37422.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37422: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
37422 is composite. Its prime factorisation is
- 3
The divisors add up to 104832; without 37422 itself that is 67410, so 37422 is abundant (67410 is more than 37422). Euler's totient φ(37422) = 9720 numbers up to 37422 share no factor with it.
- 4
The digits of 37422 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 199 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37422 = 2 \times 3^{5} \times 7 \times 11 \]37422 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 104832 |
| Euler totient φ(n) | 9720 |
| Square | 1400406084 |
| Cube | 52405996475448 |
| Square root | 193.447667 (= 9√462) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 199 |
| Scientific notation | 3.7422 × |
37422 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand four hundred and twenty-two |
| Binary (base 2) | 1001001000101110 |
| Octal (base 8) | 111056 |
| Hexadecimal (base 16) | 922E |
| Base 3 | 1220100000 |
| As time | 37422 seconds = 10 h 23 min 42 s |
Is 37422 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37422 ÷ 2 = 18711) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (37422 ÷ 3 = 12474) | 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 (37422 ÷ 6 = 6237) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (37422 ÷ 7 = 5346) | 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 | Yes (37422 ÷ 9 = 4158) | 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 | Yes (37422 ÷ 11 = 3402) | 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 37422 a prime number?
No. 37422 = 2 × × 7 × 11, so it is divisible by 2.
What are the factors of 37422?
1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 27, 33, 42, 54, 63, 66, 77, 81, 99, 126, 154, 162, 189, 198, 231, 243, 297, 378, 462, 486, 567, 594, 693, 891, 1134, 1386, 1701, 1782, 2079, 2673, 3402, 4158, 5346, 6237, 12474, 18711, 37422.
What is 37422 in binary?
1001001000101110 (hexadecimal 922E, octal 111056).
What is the square root of 37422?
About 193.4477, exactly 9√462.
Is 37422 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 37422?
37422 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.