The number 7370
7370 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 11 × 67. Divisors (16): 1, 2, 5, 10, 11, 22, 55, 67, 110, 134, 335, 670, 737, 1474, 3685, 7370.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7370 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7370 is composite. Its prime factorisation is
- 3
The divisors add up to 14688; without 7370 itself that is 7318, so 7370 is deficient (7318 is less than 7370). Euler's totient φ(7370) = 2640 numbers up to 7370 share no factor with it.
- 4
The digits of 7370 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7370 = 2 \times 5 \times 11 \times 67 \]
7370 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 14688 |
| Euler totient φ(n) | 2640 |
| Square | 54316900 |
| Cube | 400315553000 |
| Square root | 85.848704 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 132 |
| Scientific notation | 7.37 × |
7370 in other forms
| Form | Value |
|---|---|
| In words | seven thousand three hundred and seventy |
| Binary (base 2) | 1110011001010 |
| Octal (base 8) | 16312 |
| Hexadecimal (base 16) | 1CCA |
| Base 3 | 101002222 |
| As time | 7370 seconds = 2 h 2 min 50 s |
Is 7370 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7370 ÷ 2 = 3685) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (7370 ÷ 5 = 1474) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (7370 ÷ 10 = 737) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (7370 ÷ 11 = 670) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7370 a prime number?
No. 7370 = 2 × 5 × 11 × 67, so it is divisible by 2.
What are the factors of 7370?
1, 2, 5, 10, 11, 22, 55, 67, 110, 134, 335, 670, 737, 1474, 3685, 7370.
What is 7370 in binary?
1110011001010 (hexadecimal 1CCA, octal 16312).
What is the square root of 7370?
About 85.8487.
Is 7370 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 7370?
It is a composite number with 16 divisors.