The number 7480
7480 is a composite number with 32 divisors. Its prime factorisation is × 5 × 11 × 17. Divisors (32): 1, 2, 4, 5, 8, 10, 11, 17, 20, 22, 34, 40, 44, 55, 68, 85 … 7480.
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How to work it out
- 1
What is special about 7480: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
7480 is composite. Its prime factorisation is
- 3
The divisors add up to 19440; without 7480 itself that is 11960, so 7480 is abundant (11960 is more than 7480). Euler's totient φ(7480) = 2560 numbers up to 7480 share no factor with it.
- 4
The digits of 7480 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
\[ 7480 = 2^{3} \times 5 \times 11 \times 17 \]7480 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 19440 |
| Euler totient φ(n) | 2560 |
| Square | 55950400 |
| Cube | 418508992000 |
| Square root | 86.486993 (= 2√1870) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 132 |
| Scientific notation | 7.48 × |
7480 in other forms
| Form | Value |
|---|---|
| In words | seven thousand four hundred and eighty |
| Binary (base 2) | 1110100111000 |
| Octal (base 8) | 16470 |
| Hexadecimal (base 16) | 1D38 |
| Base 3 | 101021001 |
| As time | 7480 seconds = 2 h 4 min 40 s |
Is 7480 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7480 ÷ 2 = 3740) | 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 (7480 ÷ 4 = 1870) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (7480 ÷ 5 = 1496) | 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 4) | 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 | Yes (7480 ÷ 8 = 935) | 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 | Yes (7480 ÷ 10 = 748) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (7480 ÷ 11 = 680) | 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 7480 a prime number?
No. 7480 = × 5 × 11 × 17, so it is divisible by 2.
What are the factors of 7480?
1, 2, 4, 5, 8, 10, 11, 17, 20, 22, 34, 40, 44, 55, 68, 85, 88, 110, 136, 170, 187, 220, 340, 374, 440, 680, 748, 935, 1496, 1870, 3740, 7480.
What is 7480 in binary?
1110100111000 (hexadecimal 1D38, octal 16470).
What is the square root of 7480?
About 86.4870, exactly 2√1870.
Is 7480 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 7480?
7480 is a happy number: repeatedly adding the squares of its digits reaches 1.