The number 5670
5670 is a composite number with 40 divisors. Its prime factorisation is 2 × × 5 × 7. Divisors (40): 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42 … 5670.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5670: a Harshad number: divisible by its digit sum 18.
- 2
5670 is composite. Its prime factorisation is
- 3
The divisors add up to 17424; without 5670 itself that is 11754, so 5670 is abundant (11754 is more than 5670). Euler's totient φ(5670) = 1296 numbers up to 5670 share no factor with it.
- 4
The digits of 5670 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 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5670 = 2 \times 3^{4} \times 5 \times 7 \]5670 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 17424 |
| Euler totient φ(n) | 1296 |
| Square | 32148900 |
| Cube | 182284263000 |
| Square root | 75.299402 (= 9√70) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 80 |
| Scientific notation | 5.67 × |
5670 in other forms
| Form | Value |
|---|---|
| In words | five thousand six hundred and seventy |
| Binary (base 2) | 1011000100110 |
| Octal (base 8) | 13046 |
| Hexadecimal (base 16) | 1626 |
| Base 3 | 21210000 |
| As time | 5670 seconds = 1 h 34 min 30 s |
Is 5670 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5670 ÷ 2 = 2835) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5670 ÷ 3 = 1890) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (5670 ÷ 5 = 1134) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (5670 ÷ 6 = 945) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (5670 ÷ 7 = 810) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (5670 ÷ 9 = 630) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (5670 ÷ 10 = 567) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5670 a prime number?
No. 5670 = 2 × × 5 × 7, so it is divisible by 2.
What are the factors of 5670?
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 81, 90, 105, 126, 135, 162, 189, 210, 270, 315, 378, 405, 567, 630, 810, 945, 1134, 1890, 2835, 5670.
What is 5670 in binary?
1011000100110 (hexadecimal 1626, octal 13046).
What is the square root of 5670?
About 75.2994, exactly 9√70.
Is 5670 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 5670?
5670 is a Harshad number: divisible by its digit sum 18.