The number 372
372 is a composite number with 12 divisors. Its prime factorisation is × 3 × 31. Divisors (12): 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 372: a Harshad number: divisible by its digit sum 12.
- 2
372 is composite. Its prime factorisation is
- 3
The divisors add up to 896; without 372 itself that is 524, so 372 is abundant (524 is more than 372). Euler's totient φ(372) = 120 numbers up to 372 share no factor with it.
- 4
The digits of 372 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 19 steps to reach 1.
LaTeX source of the formulas on this page
\[ 372 = 2^{2} \times 3 \times 31 \]372 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 896 |
| Euler totient φ(n) | 120 |
| Square | 138384 |
| Cube | 51478848 |
| Square root | 19.287302 (= 2√93) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 19 |
| Scientific notation | 3.72 × |
372 in other forms
| Form | Value |
|---|---|
| In words | three hundred and seventy-two |
| Roman numerals | CCCLXXII |
| Binary (base 2) | 101110100 |
| Octal (base 8) | 564 |
| Hexadecimal (base 16) | 174 |
| Base 3 | 111210 |
| As time | 372 seconds = 6 min 12 s |
Is 372 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (372 ÷ 2 = 186) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (372 ÷ 3 = 124) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (372 ÷ 4 = 93) | 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 (372 ÷ 6 = 62) | 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 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (372 ÷ 12 = 31) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 372 a prime number?
No. 372 = × 3 × 31, so it is divisible by 2.
What are the factors of 372?
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372.
What is 372 in binary?
101110100 (hexadecimal 174, octal 564).
What is the square root of 372?
About 19.2873, exactly 2√93.
What is 372 in Roman numerals?
CCCLXXII.
Is 372 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 372?
372 is a Harshad number: divisible by its digit sum 12.