The number 7670
7670 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 13 × 59. Divisors (16): 1, 2, 5, 10, 13, 26, 59, 65, 118, 130, 295, 590, 767, 1534, 3835, 7670.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7670 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7670 is composite. Its prime factorisation is
- 3
The divisors add up to 15120; without 7670 itself that is 7450, so 7670 is deficient (7450 is less than 7670). Euler's totient φ(7670) = 2784 numbers up to 7670 share no factor with it.
- 4
The digits of 7670 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7670 = 2 \times 5 \times 13 \times 59 \]
7670 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 15120 |
| Euler totient φ(n) | 2784 |
| Square | 58828900 |
| Cube | 451217663000 |
| Square root | 87.578536 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 132 |
| Scientific notation | 7.67 × |
7670 in other forms
| Form | Value |
|---|---|
| In words | seven thousand six hundred and seventy |
| Binary (base 2) | 1110111110110 |
| Octal (base 8) | 16766 |
| Hexadecimal (base 16) | 1DF6 |
| Base 3 | 101112002 |
| As time | 7670 seconds = 2 h 7 min 50 s |
Is 7670 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7670 ÷ 2 = 3835) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 (7670 ÷ 5 = 1534) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (7670 ÷ 10 = 767) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7670 a prime number?
No. 7670 = 2 × 5 × 13 × 59, so it is divisible by 2.
What are the factors of 7670?
1, 2, 5, 10, 13, 26, 59, 65, 118, 130, 295, 590, 767, 1534, 3835, 7670.
What is 7670 in binary?
1110111110110 (hexadecimal 1DF6, octal 16766).
What is the square root of 7670?
About 87.5785.
Is 7670 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 7670?
It is a composite number with 16 divisors.