The number 6372
6372 is a composite number with 24 divisors. Its prime factorisation is × × 59. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 59, 108, 118, 177, 236 … 6372.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6372: a Harshad number: divisible by its digit sum 18.
- 2
6372 is composite. Its prime factorisation is
- 3
The divisors add up to 16800; without 6372 itself that is 10428, so 6372 is abundant (10428 is more than 6372). Euler's totient φ(6372) = 2088 numbers up to 6372 share no factor with it.
- 4
The digits of 6372 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6372 = 2^{2} \times 3^{3} \times 59 \]6372 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 16800 |
| Euler totient φ(n) | 2088 |
| Square | 40602384 |
| Cube | 258718390848 |
| Square root | 79.824808 (= 6√177) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 124 |
| Scientific notation | 6.372 × |
6372 in other forms
| Form | Value |
|---|---|
| In words | six thousand three hundred and seventy-two |
| Binary (base 2) | 1100011100100 |
| Octal (base 8) | 14344 |
| Hexadecimal (base 16) | 18E4 |
| Base 3 | 22202000 |
| As time | 6372 seconds = 1 h 46 min 12 s |
Is 6372 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6372 ÷ 2 = 3186) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6372 ÷ 3 = 2124) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (6372 ÷ 4 = 1593) | 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 (6372 ÷ 6 = 1062) | 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 | Yes (6372 ÷ 9 = 708) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (6372 ÷ 12 = 531) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6372 a prime number?
No. 6372 = × × 59, so it is divisible by 2.
What are the factors of 6372?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 59, 108, 118, 177, 236, 354, 531, 708, 1062, 1593, 2124, 3186, 6372.
What is 6372 in binary?
1100011100100 (hexadecimal 18E4, octal 14344).
What is the square root of 6372?
About 79.8248, exactly 6√177.
Is 6372 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 6372?
6372 is a Harshad number: divisible by its digit sum 18.