The number 7372
7372 is a composite number with 12 divisors. Its prime factorisation is × 19 × 97. Divisors (12): 1, 2, 4, 19, 38, 76, 97, 194, 388, 1843, 3686, 7372.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7372: a Harshad number: divisible by its digit sum 19.
- 2
7372 is composite. Its prime factorisation is
- 3
The divisors add up to 13720; without 7372 itself that is 6348, so 7372 is deficient (6348 is less than 7372). Euler's totient φ(7372) = 3456 numbers up to 7372 share no factor with it.
- 4
The digits of 7372 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7372 = 2^{2} \times 19 \times 97 \]7372 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 13720 |
| Euler totient φ(n) | 3456 |
| Square | 54346384 |
| Cube | 400641542848 |
| Square root | 85.860352 (= 2√1843) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 132 |
| Scientific notation | 7.372 × |
7372 in other forms
| Form | Value |
|---|---|
| In words | seven thousand three hundred and seventy-two |
| Binary (base 2) | 1110011001100 |
| Octal (base 8) | 16314 |
| Hexadecimal (base 16) | 1CCC |
| Base 3 | 101010001 |
| As time | 7372 seconds = 2 h 2 min 52 s |
Is 7372 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7372 ÷ 2 = 3686) | 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 (7372 ÷ 4 = 1843) | 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 1) | 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 2) | 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 7372 a prime number?
No. 7372 = × 19 × 97, so it is divisible by 2.
What are the factors of 7372?
1, 2, 4, 19, 38, 76, 97, 194, 388, 1843, 3686, 7372.
What is 7372 in binary?
1110011001100 (hexadecimal 1CCC, octal 16314).
What is the square root of 7372?
About 85.8604, exactly 2√1843.
Is 7372 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 7372?
7372 is a Harshad number: divisible by its digit sum 19.