The number 7350
7350 is a composite number with 36 divisors. Its prime factorisation is 2 × 3 × × . Divisors (36): 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 49, 50 … 7350.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7350: a Harshad number: divisible by its digit sum 15.
- 2
7350 is composite. Its prime factorisation is
- 3
The divisors add up to 21204; without 7350 itself that is 13854, so 7350 is abundant (13854 is more than 7350). Euler's totient φ(7350) = 1680 numbers up to 7350 share no factor with it.
- 4
The digits of 7350 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7350 = 2 \times 3 \times 5^{2} \times 7^{2} \]7350 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 21204 |
| Euler totient φ(n) | 1680 |
| Square | 54022500 |
| Cube | 397065375000 |
| Square root | 85.732141 (= 35√6) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 101 |
| Scientific notation | 7.35 × |
7350 in other forms
| Form | Value |
|---|---|
| In words | seven thousand three hundred and fifty |
| Binary (base 2) | 1110010110110 |
| Octal (base 8) | 16266 |
| Hexadecimal (base 16) | 1CB6 |
| Base 3 | 101002020 |
| As time | 7350 seconds = 2 h 2 min 30 s |
Is 7350 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7350 ÷ 2 = 3675) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7350 ÷ 3 = 2450) | 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 (7350 ÷ 5 = 1470) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (7350 ÷ 6 = 1225) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (7350 ÷ 7 = 1050) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (7350 ÷ 10 = 735) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7350 a prime number?
No. 7350 = 2 × 3 × × , so it is divisible by 2.
What are the factors of 7350?
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 49, 50, 70, 75, 98, 105, 147, 150, 175, 210, 245, 294, 350, 490, 525, 735, 1050, 1225, 1470, 2450, 3675, 7350.
What is 7350 in binary?
1110010110110 (hexadecimal 1CB6, octal 16266).
What is the square root of 7350?
About 85.7321, exactly 35√6.
Is 7350 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 7350?
7350 is a Harshad number: divisible by its digit sum 15.