The number 1672
1672 is a composite number with 16 divisors. Its prime factorisation is × 11 × 19. Divisors (16): 1, 2, 4, 8, 11, 19, 22, 38, 44, 76, 88, 152, 209, 418, 836, 1672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1672 is composite. Its prime factorisation is
- 3
The divisors add up to 3600; without 1672 itself that is 1928, so 1672 is abundant (1928 is more than 1672). Euler's totient φ(1672) = 720 numbers up to 1672 share no factor with it.
- 4
The digits of 1672 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1672 = 2^{3} \times 11 \times 19 \]1672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 3600 |
| Euler totient φ(n) | 720 |
| Square | 2795584 |
| Cube | 4674216448 |
| Square root | 40.890097 (= 2√418) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.672 × |
1672 in other forms
| Form | Value |
|---|---|
| In words | one thousand six hundred and seventy-two |
| Roman numerals | MDCLXXII |
| Binary (base 2) | 11010001000 |
| Octal (base 8) | 3210 |
| Hexadecimal (base 16) | 688 |
| Base 3 | 2021221 |
| As time | 1672 seconds = 27 min 52 s |
Is 1672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1672 ÷ 2 = 836) | 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 | Yes (1672 ÷ 4 = 418) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (1672 ÷ 8 = 209) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | Yes (1672 ÷ 11 = 152) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1672 a prime number?
No. 1672 = × 11 × 19, so it is divisible by 2.
What are the factors of 1672?
1, 2, 4, 8, 11, 19, 22, 38, 44, 76, 88, 152, 209, 418, 836, 1672.
What is 1672 in binary?
11010001000 (hexadecimal 688, octal 3210).
What is the square root of 1672?
About 40.8901, exactly 2√418.
What is 1672 in Roman numerals?
MDCLXXII.
Is 1672 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 1672?
It is a composite number with 16 divisors.