The number 1372
1372 is a composite number with 12 divisors. Its prime factorisation is × . Divisors (12): 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1372 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1372 is composite. Its prime factorisation is
- 3
The divisors add up to 2800; without 1372 itself that is 1428, so 1372 is abundant (1428 is more than 1372). Euler's totient φ(1372) = 588 numbers up to 1372 share no factor with it.
- 4
The digits of 1372 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 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1372 = 2^{2} \times 7^{3} \]1372 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 2800 |
| Euler totient φ(n) | 588 |
| Square | 1882384 |
| Cube | 2582630848 |
| Square root | 37.040518 (= 14√7) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 127 |
| Scientific notation | 1.372 × |
1372 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and seventy-two |
| Roman numerals | MCCCLXXII |
| Binary (base 2) | 10101011100 |
| Octal (base 8) | 2534 |
| Hexadecimal (base 16) | 55C |
| Base 3 | 1212211 |
| As time | 1372 seconds = 22 min 52 s |
Is 1372 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1372 ÷ 2 = 686) | 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 (1372 ÷ 4 = 343) | 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 | Yes (1372 ÷ 7 = 196) | 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 8) | 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 1372 a prime number?
No. 1372 = × , so it is divisible by 2.
What are the factors of 1372?
1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372.
What is 1372 in binary?
10101011100 (hexadecimal 55C, octal 2534).
What is the square root of 1372?
About 37.0405, exactly 14√7.
What is 1372 in Roman numerals?
MCCCLXXII.
Is 1372 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 1372?
It is a composite number with 12 divisors.