The number 2670
2670 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 89. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 89, 178, 267, 445, 534, 890, 1335, 2670.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2670: a Harshad number: divisible by its digit sum 15.
- 2
2670 is composite. Its prime factorisation is
- 3
The divisors add up to 6480; without 2670 itself that is 3810, so 2670 is abundant (3810 is more than 2670). Euler's totient φ(2670) = 704 numbers up to 2670 share no factor with it.
- 4
The digits of 2670 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 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2670 = 2 \times 3 \times 5 \times 89 \]
2670 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 6480 |
| Euler totient φ(n) | 704 |
| Square | 7128900 |
| Cube | 19034163000 |
| Square root | 51.672043 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 146 |
| Scientific notation | 2.67 × |
2670 in other forms
| Form | Value |
|---|---|
| In words | two thousand six hundred and seventy |
| Roman numerals | MMDCLXX |
| Binary (base 2) | 101001101110 |
| Octal (base 8) | 5156 |
| Hexadecimal (base 16) | A6E |
| Base 3 | 10122220 |
| As time | 2670 seconds = 44 min 30 s |
Is 2670 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2670 ÷ 2 = 1335) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2670 ÷ 3 = 890) | 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 (2670 ÷ 5 = 534) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (2670 ÷ 6 = 445) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (2670 ÷ 10 = 267) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2670 a prime number?
No. 2670 = 2 × 3 × 5 × 89, so it is divisible by 2.
What are the factors of 2670?
1, 2, 3, 5, 6, 10, 15, 30, 89, 178, 267, 445, 534, 890, 1335, 2670.
What is 2670 in binary?
101001101110 (hexadecimal A6E, octal 5156).
What is the square root of 2670?
About 51.6720.
What is 2670 in Roman numerals?
MMDCLXX.
Is 2670 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 2670?
2670 is a Harshad number: divisible by its digit sum 15.