The number 59422
59422 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 37 × 73. Divisors (16): 1, 2, 11, 22, 37, 73, 74, 146, 407, 803, 814, 1606, 2701, 5402, 29711, 59422.
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How to work it out
- 1
What is special about 59422: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 22.
- 2
59422 is composite. Its prime factorisation is
- 3
The divisors add up to 101232; without 59422 itself that is 41810, so 59422 is deficient (41810 is less than 59422). Euler's totient φ(59422) = 25920 numbers up to 59422 share no factor with it.
- 4
The digits of 59422 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59422 = 2 \times 11 \times 37 \times 73 \]
59422 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 101232 |
| Euler totient φ(n) | 25920 |
| Square | 3530974084 |
| Cube | 209817542019448 |
| Square root | 243.766282 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.9422 × |
59422 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand four hundred and twenty-two |
| Binary (base 2) | 1110100000011110 |
| Octal (base 8) | 164036 |
| Hexadecimal (base 16) | E81E |
| Base 3 | 10000111211 |
| As time | 59422 seconds = 16 h 30 min 22 s |
Is 59422 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59422 ÷ 2 = 29711) | 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 | No (remainder 2) | 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 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 (59422 ÷ 11 = 5402) | 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 59422 a prime number?
No. 59422 = 2 × 11 × 37 × 73, so it is divisible by 2.
What are the factors of 59422?
1, 2, 11, 22, 37, 73, 74, 146, 407, 803, 814, 1606, 2701, 5402, 29711, 59422.
What is 59422 in binary?
1110100000011110 (hexadecimal E81E, octal 164036).
What is the square root of 59422?
About 243.7663.
Is 59422 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 59422?
59422 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 22.