The number 7470
7470 is a composite number with 24 divisors. Its prime factorisation is 2 × × 5 × 83. Divisors (24): 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 83, 90, 166, 249, 415 … 7470.
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How to work it out
- 1
What is special about 7470: a Harshad number: divisible by its digit sum 18.
- 2
7470 is composite. Its prime factorisation is
- 3
The divisors add up to 19656; without 7470 itself that is 12186, so 7470 is abundant (12186 is more than 7470). Euler's totient φ(7470) = 1968 numbers up to 7470 share no factor with it.
- 4
The digits of 7470 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 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7470 = 2 \times 3^{2} \times 5 \times 83 \]7470 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 19656 |
| Euler totient φ(n) | 1968 |
| Square | 55800900 |
| Cube | 416832723000 |
| Square root | 86.429162 (= 3√830) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 39 |
| Scientific notation | 7.47 × |
7470 in other forms
| Form | Value |
|---|---|
| In words | seven thousand four hundred and seventy |
| Binary (base 2) | 1110100101110 |
| Octal (base 8) | 16456 |
| Hexadecimal (base 16) | 1D2E |
| Base 3 | 101020200 |
| As time | 7470 seconds = 2 h 4 min 30 s |
Is 7470 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7470 ÷ 2 = 3735) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7470 ÷ 3 = 2490) | 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 (7470 ÷ 5 = 1494) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (7470 ÷ 6 = 1245) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (7470 ÷ 9 = 830) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (7470 ÷ 10 = 747) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 7470 a prime number?
No. 7470 = 2 × × 5 × 83, so it is divisible by 2.
What are the factors of 7470?
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 83, 90, 166, 249, 415, 498, 747, 830, 1245, 1494, 2490, 3735, 7470.
What is 7470 in binary?
1110100101110 (hexadecimal 1D2E, octal 16456).
What is the square root of 7470?
About 86.4292, exactly 3√830.
Is 7470 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 7470?
7470 is a Harshad number: divisible by its digit sum 18.