The number 37395
37395 is a composite number with 16 divisors. Its prime factorisation is × 5 × 277. Divisors (16): 1, 3, 5, 9, 15, 27, 45, 135, 277, 831, 1385, 2493, 4155, 7479, 12465, 37395.
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How to work it out
- 1
What is special about 37395: a Harshad number: divisible by its digit sum 27.
- 2
37395 is composite. Its prime factorisation is
- 3
The divisors add up to 66720; without 37395 itself that is 29325, so 37395 is deficient (29325 is less than 37395). Euler's totient φ(37395) = 19872 numbers up to 37395 share no factor with it.
- 4
The digits of 37395 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37395 = 3^{3} \times 5 \times 277 \]37395 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 66720 |
| Euler totient φ(n) | 19872 |
| Square | 1398386025 |
| Cube | 52292645404875 |
| Square root | 193.377868 (= 3√4155) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.7395 × |
37395 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand three hundred and ninety-five |
| Binary (base 2) | 1001001000010011 |
| Octal (base 8) | 111023 |
| Hexadecimal (base 16) | 9213 |
| Base 3 | 1220022000 |
| As time | 37395 seconds = 10 h 23 min 15 s |
Is 37395 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (37395 ÷ 3 = 12465) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (37395 ÷ 5 = 7479) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (37395 ÷ 9 = 4155) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37395 a prime number?
No. 37395 = × 5 × 277, so it is divisible by 3.
What are the factors of 37395?
1, 3, 5, 9, 15, 27, 45, 135, 277, 831, 1385, 2493, 4155, 7479, 12465, 37395.
What is 37395 in binary?
1001001000010011 (hexadecimal 9213, octal 111023).
What is the square root of 37395?
About 193.3779, exactly 3√4155.
Is 37395 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 37395?
37395 is a Harshad number: divisible by its digit sum 27.