The number 36442
36442 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 19 × 137. Divisors (16): 1, 2, 7, 14, 19, 38, 133, 137, 266, 274, 959, 1918, 2603, 5206, 18221, 36442.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36442: a Harshad number: divisible by its digit sum 19.
- 2
36442 is composite. Its prime factorisation is
- 3
The divisors add up to 66240; without 36442 itself that is 29798, so 36442 is deficient (29798 is less than 36442). Euler's totient φ(36442) = 14688 numbers up to 36442 share no factor with it.
- 4
The digits of 36442 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 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36442 = 2 \times 7 \times 19 \times 137 \]
36442 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 66240 |
| Euler totient φ(n) | 14688 |
| Square | 1328019364 |
| Cube | 48395681662888 |
| Square root | 190.897878 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.6442 × |
36442 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand four hundred and forty-two |
| Binary (base 2) | 1000111001011010 |
| Octal (base 8) | 107132 |
| Hexadecimal (base 16) | 8E5A |
| Base 3 | 1211222201 |
| As time | 36442 seconds = 10 h 7 min 22 s |
Is 36442 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36442 ÷ 2 = 18221) | 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 | Yes (36442 ÷ 7 = 5206) | 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 1) | 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 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 36442 a prime number?
No. 36442 = 2 × 7 × 19 × 137, so it is divisible by 2.
What are the factors of 36442?
1, 2, 7, 14, 19, 38, 133, 137, 266, 274, 959, 1918, 2603, 5206, 18221, 36442.
What is 36442 in binary?
1000111001011010 (hexadecimal 8E5A, octal 107132).
What is the square root of 36442?
About 190.8979.
Is 36442 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 36442?
36442 is a Harshad number: divisible by its digit sum 19.