The number 37501
37501 is the 3969th prime number. Its only divisors are 1 and 37501.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37501: the 3969th prime number.
- 2
37501 is prime, so its only factors are 1 and 37501. It is the 3969th prime; the next prime is 37507 and the one before is 37493.
- 3
The divisors add up to 37502; without 37501 itself that is 1, so 37501 is deficient (1 is less than 37501). Euler's totient φ(37501) = 37500 numbers up to 37501 share no factor with it.
- 4
The digits of 37501 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
37501 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 37502 |
| Euler totient φ(n) | 37500 |
| Square | 1406325001 |
| Cube | 52738593862501 |
| Square root | 193.651749 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.7501 × |
37501 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand five hundred and one |
| Binary (base 2) | 1001001001111101 |
| Octal (base 8) | 111175 |
| Hexadecimal (base 16) | 927D |
| Base 3 | 1220102221 |
| As time | 37501 seconds = 10 h 25 min 1 s |
Is 37501 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | No (remainder 2) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37501 a prime number?
Yes. 37501 is divisible only by 1 and itself.
What are the factors of 37501?
1, 37501.
What is 37501 in binary?
1001001001111101 (hexadecimal 927D, octal 111175).
What is the square root of 37501?
About 193.6517.
Is 37501 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 37501?
37501 is the 3969th prime number.