The number 5607
5607 is a composite number with 12 divisors. Its prime factorisation is × 7 × 89. Divisors (12): 1, 3, 7, 9, 21, 63, 89, 267, 623, 801, 1869, 5607.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5607 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5607 is composite. Its prime factorisation is
- 3
The divisors add up to 9360; without 5607 itself that is 3753, so 5607 is deficient (3753 is less than 5607). Euler's totient φ(5607) = 3168 numbers up to 5607 share no factor with it.
- 4
The digits of 5607 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5607 = 3^{2} \times 7 \times 89 \]5607 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 9360 |
| Euler totient φ(n) | 3168 |
| Square | 31438449 |
| Cube | 176275383543 |
| Square root | 74.879904 (= 3√623) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 67 |
| Scientific notation | 5.607 × |
5607 in other forms
| Form | Value |
|---|---|
| In words | five thousand six hundred and seven |
| Binary (base 2) | 1010111100111 |
| Octal (base 8) | 12747 |
| Hexadecimal (base 16) | 15E7 |
| Base 3 | 21200200 |
| As time | 5607 seconds = 1 h 33 min 27 s |
Is 5607 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 (5607 ÷ 3 = 1869) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 (5607 ÷ 7 = 801) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (5607 ÷ 9 = 623) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5607 a prime number?
No. 5607 = × 7 × 89, so it is divisible by 3.
What are the factors of 5607?
1, 3, 7, 9, 21, 63, 89, 267, 623, 801, 1869, 5607.
What is 5607 in binary?
1010111100111 (hexadecimal 15E7, octal 12747).
What is the square root of 5607?
About 74.8799, exactly 3√623.
Is 5607 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 5607?
It is a composite number with 12 divisors.