The number 37801
37801 is a composite number with 4 divisors. Its prime factorisation is 103 × 367. Divisors (4): 1, 103, 367, 37801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37801: a semiprime: 103 × 367, the product of two primes.
- 2
37801 is composite. Its prime factorisation is
- 3
The divisors add up to 38272; without 37801 itself that is 471, so 37801 is deficient (471 is less than 37801). Euler's totient φ(37801) = 37332 numbers up to 37801 share no factor with it.
- 4
The digits of 37801 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 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37801 = 103 \times 367 \]
37801 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 38272 |
| Euler totient φ(n) | 37332 |
| Square | 1428915601 |
| Cube | 54014438633401 |
| Square root | 194.424793 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.7801 × |
37801 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand eight hundred and one |
| Binary (base 2) | 1001001110101001 |
| Octal (base 8) | 111651 |
| Hexadecimal (base 16) | 93A9 |
| Base 3 | 1220212001 |
| As time | 37801 seconds = 10 h 30 min 1 s |
Is 37801 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 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 1) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 37801 a prime number?
No. 37801 = 103 × 367, so it is divisible by 103.
What are the factors of 37801?
1, 103, 367, 37801.
What is 37801 in binary?
1001001110101001 (hexadecimal 93A9, octal 111651).
What is the square root of 37801?
About 194.4248.
Is 37801 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 37801?
37801 is a semiprime: 103 × 367, the product of two primes.