The number 2672
2672 is a composite number with 10 divisors. Its prime factorisation is × 167. Divisors (10): 1, 2, 4, 8, 16, 167, 334, 668, 1336, 2672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2672 is composite. Its prime factorisation is
- 3
The divisors add up to 5208; without 2672 itself that is 2536, so 2672 is deficient (2536 is less than 2672). Euler's totient φ(2672) = 1328 numbers up to 2672 share no factor with it.
- 4
The digits of 2672 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2672 = 2^{4} \times 167 \]2672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 5208 |
| Euler totient φ(n) | 1328 |
| Square | 7139584 |
| Cube | 19076968448 |
| Square root | 51.691392 (= 4√167) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 71 |
| Scientific notation | 2.672 × |
2672 in other forms
| Form | Value |
|---|---|
| In words | two thousand six hundred and seventy-two |
| Roman numerals | MMDCLXXII |
| Binary (base 2) | 101001110000 |
| Octal (base 8) | 5160 |
| Hexadecimal (base 16) | A70 |
| Base 3 | 10122222 |
| As time | 2672 seconds = 44 min 32 s |
Is 2672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2672 ÷ 2 = 1336) | 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 | Yes (2672 ÷ 4 = 668) | 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 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 | Yes (2672 ÷ 8 = 334) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2672 a prime number?
No. 2672 = × 167, so it is divisible by 2.
What are the factors of 2672?
1, 2, 4, 8, 16, 167, 334, 668, 1336, 2672.
What is 2672 in binary?
101001110000 (hexadecimal A70, octal 5160).
What is the square root of 2672?
About 51.6914, exactly 4√167.
What is 2672 in Roman numerals?
MMDCLXXII.
Is 2672 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 2672?
It is a composite number with 10 divisors.