The number 37101
37101 is a composite number with 8 divisors. Its prime factorisation is 3 × 83 × 149. Divisors (8): 1, 3, 83, 149, 249, 447, 12367, 37101.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37101 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37101 is composite. Its prime factorisation is
- 3
The divisors add up to 50400; without 37101 itself that is 13299, so 37101 is deficient (13299 is less than 37101). Euler's totient φ(37101) = 24272 numbers up to 37101 share no factor with it.
- 4
The digits of 37101 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37101 = 3 \times 83 \times 149 \]
37101 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 50400 |
| Euler totient φ(n) | 24272 |
| Square | 1376484201 |
| Cube | 51068940341301 |
| Square root | 192.616199 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.7101 × |
37101 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand one hundred and one |
| Binary (base 2) | 1001000011101101 |
| Octal (base 8) | 110355 |
| Hexadecimal (base 16) | 90ED |
| Base 3 | 1212220010 |
| As time | 37101 seconds = 10 h 18 min 21 s |
Is 37101 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 (37101 ÷ 3 = 12367) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37101 a prime number?
No. 37101 = 3 × 83 × 149, so it is divisible by 3.
What are the factors of 37101?
1, 3, 83, 149, 249, 447, 12367, 37101.
What is 37101 in binary?
1001000011101101 (hexadecimal 90ED, octal 110355).
What is the square root of 37101?
About 192.6162.
Is 37101 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 37101?
It is a composite number with 8 divisors.