The number 2674
2674 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 191. Divisors (8): 1, 2, 7, 14, 191, 382, 1337, 2674.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2674 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2674 is composite. Its prime factorisation is
- 3
The divisors add up to 4608; without 2674 itself that is 1934, so 2674 is deficient (1934 is less than 2674). Euler's totient φ(2674) = 1140 numbers up to 2674 share no factor with it.
- 4
The digits of 2674 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2674 = 2 \times 7 \times 191 \]
2674 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4608 |
| Euler totient φ(n) | 1140 |
| Square | 7150276 |
| Cube | 19119838024 |
| Square root | 51.710734 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 45 |
| Scientific notation | 2.674 × |
2674 in other forms
| Form | Value |
|---|---|
| In words | two thousand six hundred and seventy-four |
| Roman numerals | MMDCLXXIV |
| Binary (base 2) | 101001110010 |
| Octal (base 8) | 5162 |
| Hexadecimal (base 16) | A72 |
| Base 3 | 10200001 |
| As time | 2674 seconds = 44 min 34 s |
Is 2674 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2674 ÷ 2 = 1337) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (2674 ÷ 7 = 382) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2674 a prime number?
No. 2674 = 2 × 7 × 191, so it is divisible by 2.
What are the factors of 2674?
1, 2, 7, 14, 191, 382, 1337, 2674.
What is 2674 in binary?
101001110010 (hexadecimal A72, octal 5162).
What is the square root of 2674?
About 51.7107.
What is 2674 in Roman numerals?
MMDCLXXIV.
Is 2674 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 2674?
It is a composite number with 8 divisors.