The number 37975
37975 is a composite number with 18 divisors. Its prime factorisation is × × 31. Divisors (18): 1, 5, 7, 25, 31, 35, 49, 155, 175, 217, 245, 775, 1085, 1225, 1519, 5425 … 37975.
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How to work it out
- 1
What is special about 37975: a Harshad number: divisible by its digit sum 31.
- 2
37975 is composite. Its prime factorisation is
- 3
The divisors add up to 56544; without 37975 itself that is 18569, so 37975 is deficient (18569 is less than 37975). Euler's totient φ(37975) = 25200 numbers up to 37975 share no factor with it.
- 4
The digits of 37975 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37975 = 5^{2} \times 7^{2} \times 31 \]37975 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 56544 |
| Euler totient φ(n) | 25200 |
| Square | 1442100625 |
| Cube | 54763771234375 |
| Square root | 194.871753 (= 35√31) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.7975 × |
37975 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand nine hundred and seventy-five |
| Binary (base 2) | 1001010001010111 |
| Octal (base 8) | 112127 |
| Hexadecimal (base 16) | 9457 |
| Base 3 | 1221002111 |
| As time | 37975 seconds = 10 h 32 min 55 s |
Is 37975 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 | No (remainder 1) | 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 (37975 ÷ 5 = 7595) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (37975 ÷ 7 = 5425) | 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 7) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37975 a prime number?
No. 37975 = × × 31, so it is divisible by 5.
What are the factors of 37975?
1, 5, 7, 25, 31, 35, 49, 155, 175, 217, 245, 775, 1085, 1225, 1519, 5425, 7595, 37975.
What is 37975 in binary?
1001010001010111 (hexadecimal 9457, octal 112127).
What is the square root of 37975?
About 194.8718, exactly 35√31.
Is 37975 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 37975?
37975 is a Harshad number: divisible by its digit sum 31.