The number 3172
3172 is a composite number with 12 divisors. Its prime factorisation is × 13 × 61. Divisors (12): 1, 2, 4, 13, 26, 52, 61, 122, 244, 793, 1586, 3172.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3172: a Harshad number: divisible by its digit sum 13.
- 2
3172 is composite. Its prime factorisation is
- 3
The divisors add up to 6076; without 3172 itself that is 2904, so 3172 is deficient (2904 is less than 3172). Euler's totient φ(3172) = 1440 numbers up to 3172 share no factor with it.
- 4
The digits of 3172 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 79 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3172 = 2^{2} \times 13 \times 61 \]3172 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 6076 |
| Euler totient φ(n) | 1440 |
| Square | 10061584 |
| Cube | 31915344448 |
| Square root | 56.320511 (= 2√793) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 79 |
| Scientific notation | 3.172 × |
3172 in other forms
| Form | Value |
|---|---|
| In words | three thousand one hundred and seventy-two |
| Roman numerals | MMMCLXXII |
| Binary (base 2) | 110001100100 |
| Octal (base 8) | 6144 |
| Hexadecimal (base 16) | C64 |
| Base 3 | 11100111 |
| As time | 3172 seconds = 52 min 52 s |
Is 3172 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3172 ÷ 2 = 1586) | 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 (3172 ÷ 4 = 793) | 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 1) | 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 4) | 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 4) | 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 3172 a prime number?
No. 3172 = × 13 × 61, so it is divisible by 2.
What are the factors of 3172?
1, 2, 4, 13, 26, 52, 61, 122, 244, 793, 1586, 3172.
What is 3172 in binary?
110001100100 (hexadecimal C64, octal 6144).
What is the square root of 3172?
About 56.3205, exactly 2√793.
What is 3172 in Roman numerals?
MMMCLXXII.
Is 3172 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 3172?
3172 is a Harshad number: divisible by its digit sum 13.