The number 40137
40137 is a composite number with 8 divisors. Its prime factorisation is 3 × 17 × 787. Divisors (8): 1, 3, 17, 51, 787, 2361, 13379, 40137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40137 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40137 is composite. Its prime factorisation is
- 3
The divisors add up to 56736; without 40137 itself that is 16599, so 40137 is deficient (16599 is less than 40137). Euler's totient φ(40137) = 25152 numbers up to 40137 share no factor with it.
- 4
The digits of 40137 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 212 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40137 = 3 \times 17 \times 787 \]
40137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 56736 |
| Euler totient φ(n) | 25152 |
| Square | 1610978769 |
| Cube | 64659854851353 |
| Square root | 200.342207 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 212 |
| Scientific notation | 4.0137 × |
40137 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and thirty-seven |
| Binary (base 2) | 1001110011001001 |
| Octal (base 8) | 116311 |
| Hexadecimal (base 16) | 9CC9 |
| Base 3 | 2001001120 |
| As time | 40137 seconds = 11 h 8 min 57 s |
Is 40137 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 (40137 ÷ 3 = 13379) | 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 6) | 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 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 40137 a prime number?
No. 40137 = 3 × 17 × 787, so it is divisible by 3.
What are the factors of 40137?
1, 3, 17, 51, 787, 2361, 13379, 40137.
What is 40137 in binary?
1001110011001001 (hexadecimal 9CC9, octal 116311).
What is the square root of 40137?
About 200.3422.
Is 40137 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 40137?
It is a composite number with 8 divisors.