The number 672
672 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7. Divisors (24): 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48 … 672.
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How to work it out
- 1
672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
672 is composite. Its prime factorisation is
- 3
The divisors add up to 2016; without 672 itself that is 1344, so 672 is abundant (1344 is more than 672). Euler's totient φ(672) = 192 numbers up to 672 share no factor with it.
- 4
The digits of 672 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 12 steps to reach 1.
LaTeX source of the formulas on this page
\[ 672 = 2^{5} \times 3 \times 7 \]672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 2016 |
| Euler totient φ(n) | 192 |
| Square | 451584 |
| Cube | 303464448 |
| Square root | 25.922963 (= 4√42) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 12 |
| Scientific notation | 6.72 × |
672 in other forms
| Form | Value |
|---|---|
| In words | six hundred and seventy-two |
| Roman numerals | DCLXXII |
| Binary (base 2) | 1010100000 |
| Octal (base 8) | 1240 |
| Hexadecimal (base 16) | 2A0 |
| Base 3 | 220220 |
| As time | 672 seconds = 11 min 12 s |
Is 672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (672 ÷ 2 = 336) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (672 ÷ 3 = 224) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (672 ÷ 4 = 168) | 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 | Yes (672 ÷ 6 = 112) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (672 ÷ 7 = 96) | 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 (672 ÷ 8 = 84) | 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 | No (remainder 2) | 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 | Yes (672 ÷ 12 = 56) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 672 a prime number?
No. 672 = × 3 × 7, so it is divisible by 2.
What are the factors of 672?
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672.
What is 672 in binary?
1010100000 (hexadecimal 2A0, octal 1240).
What is the square root of 672?
About 25.9230, exactly 4√42.
What is 672 in Roman numerals?
DCLXXII.
Is 672 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 672?
It is a composite number with 24 divisors.