The number 2172
2172 is a composite number with 12 divisors. Its prime factorisation is × 3 × 181. Divisors (12): 1, 2, 3, 4, 6, 12, 181, 362, 543, 724, 1086, 2172.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2172: a Harshad number: divisible by its digit sum 12.
- 2
2172 is composite. Its prime factorisation is
- 3
The divisors add up to 5096; without 2172 itself that is 2924, so 2172 is abundant (2924 is more than 2172). Euler's totient φ(2172) = 720 numbers up to 2172 share no factor with it.
- 4
The digits of 2172 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2172 = 2^{2} \times 3 \times 181 \]2172 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 5096 |
| Euler totient φ(n) | 720 |
| Square | 4717584 |
| Cube | 10246592448 |
| Square root | 46.604721 (= 2√543) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 138 |
| Scientific notation | 2.172 × |
2172 in other forms
| Form | Value |
|---|---|
| In words | two thousand one hundred and seventy-two |
| Roman numerals | MMCLXXII |
| Binary (base 2) | 100001111100 |
| Octal (base 8) | 4174 |
| Hexadecimal (base 16) | 87C |
| Base 3 | 2222110 |
| As time | 2172 seconds = 36 min 12 s |
Is 2172 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2172 ÷ 2 = 1086) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2172 ÷ 3 = 724) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2172 ÷ 4 = 543) | 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 (2172 ÷ 6 = 362) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (2172 ÷ 12 = 181) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2172 a prime number?
No. 2172 = × 3 × 181, so it is divisible by 2.
What are the factors of 2172?
1, 2, 3, 4, 6, 12, 181, 362, 543, 724, 1086, 2172.
What is 2172 in binary?
100001111100 (hexadecimal 87C, octal 4174).
What is the square root of 2172?
About 46.6047, exactly 2√543.
What is 2172 in Roman numerals?
MMCLXXII.
Is 2172 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 2172?
2172 is a Harshad number: divisible by its digit sum 12.