The number 4137
4137 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 197. Divisors (8): 1, 3, 7, 21, 197, 591, 1379, 4137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4137 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4137 is composite. Its prime factorisation is
- 3
The divisors add up to 6336; without 4137 itself that is 2199, so 4137 is deficient (2199 is less than 4137). Euler's totient φ(4137) = 2352 numbers up to 4137 share no factor with it.
- 4
The digits of 4137 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4137 = 3 \times 7 \times 197 \]
4137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6336 |
| Euler totient φ(n) | 2352 |
| Square | 17114769 |
| Cube | 70803799353 |
| Square root | 64.319515 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 95 |
| Scientific notation | 4.137 × |
4137 in other forms
| Form | Value |
|---|---|
| In words | four thousand one hundred and thirty-seven |
| Binary (base 2) | 1000000101001 |
| Octal (base 8) | 10051 |
| Hexadecimal (base 16) | 1029 |
| Base 3 | 12200020 |
| As time | 4137 seconds = 1 h 8 min 57 s |
Is 4137 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 (4137 ÷ 3 = 1379) | 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 2) | 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 | Yes (4137 ÷ 7 = 591) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 4137 a prime number?
No. 4137 = 3 × 7 × 197, so it is divisible by 3.
What are the factors of 4137?
1, 3, 7, 21, 197, 591, 1379, 4137.
What is 4137 in binary?
1000000101001 (hexadecimal 1029, octal 10051).
What is the square root of 4137?
About 64.3195.
Is 4137 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 4137?
It is a composite number with 8 divisors.