The number 10137
10137 is a composite number with 8 divisors. Its prime factorisation is 3 × 31 × 109. Divisors (8): 1, 3, 31, 93, 109, 327, 3379, 10137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10137 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10137 is composite. Its prime factorisation is
- 3
The divisors add up to 14080; without 10137 itself that is 3943, so 10137 is deficient (3943 is less than 10137). Euler's totient φ(10137) = 6480 numbers up to 10137 share no factor with it.
- 4
The digits of 10137 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 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10137 = 3 \times 31 \times 109 \]
10137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 14080 |
| Euler totient φ(n) | 6480 |
| Square | 102758769 |
| Cube | 1041665641353 |
| Square root | 100.682670 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 34 |
| Scientific notation | 1.0137 × |
10137 in other forms
| Form | Value |
|---|---|
| In words | ten thousand one hundred and thirty-seven |
| Binary (base 2) | 10011110011001 |
| Octal (base 8) | 23631 |
| Hexadecimal (base 16) | 2799 |
| Base 3 | 111220110 |
| As time | 10137 seconds = 2 h 48 min 57 s |
Is 10137 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 (10137 ÷ 3 = 3379) | 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 | 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 3) | 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 6) | 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 10137 a prime number?
No. 10137 = 3 × 31 × 109, so it is divisible by 3.
What are the factors of 10137?
1, 3, 31, 93, 109, 327, 3379, 10137.
What is 10137 in binary?
10011110011001 (hexadecimal 2799, octal 23631).
What is the square root of 10137?
About 100.6827.
Is 10137 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 10137?
It is a composite number with 8 divisors.