The number 5037
5037 is a composite number with 8 divisors. Its prime factorisation is 3 × 23 × 73. Divisors (8): 1, 3, 23, 69, 73, 219, 1679, 5037.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5037 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5037 is composite. Its prime factorisation is
- 3
The divisors add up to 7104; without 5037 itself that is 2067, so 5037 is deficient (2067 is less than 5037). Euler's totient φ(5037) = 3168 numbers up to 5037 share no factor with it.
- 4
The digits of 5037 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 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5037 = 3 \times 23 \times 73 \]
5037 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 7104 |
| Euler totient φ(n) | 3168 |
| Square | 25371369 |
| Cube | 127795585653 |
| Square root | 70.971825 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 85 |
| Scientific notation | 5.037 × |
5037 in other forms
| Form | Value |
|---|---|
| In words | five thousand and thirty-seven |
| Binary (base 2) | 1001110101101 |
| Octal (base 8) | 11655 |
| Hexadecimal (base 16) | 13AD |
| Base 3 | 20220120 |
| As time | 5037 seconds = 1 h 23 min 57 s |
Is 5037 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 (5037 ÷ 3 = 1679) | 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 4) | 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 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 10) | 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 5037 a prime number?
No. 5037 = 3 × 23 × 73, so it is divisible by 3.
What are the factors of 5037?
1, 3, 23, 69, 73, 219, 1679, 5037.
What is 5037 in binary?
1001110101101 (hexadecimal 13AD, octal 11655).
What is the square root of 5037?
About 70.9718.
Is 5037 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 5037?
It is a composite number with 8 divisors.