The number 7475
7475 is a composite number with 12 divisors. Its prime factorisation is × 13 × 23. Divisors (12): 1, 5, 13, 23, 25, 65, 115, 299, 325, 575, 1495, 7475.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7475: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 23.
- 2
7475 is composite. Its prime factorisation is
- 3
The divisors add up to 10416; without 7475 itself that is 2941, so 7475 is deficient (2941 is less than 7475). Euler's totient φ(7475) = 5280 numbers up to 7475 share no factor with it.
- 4
The digits of 7475 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7475 = 5^{2} \times 13 \times 23 \]7475 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 10416 |
| Euler totient φ(n) | 5280 |
| Square | 55875625 |
| Cube | 417670296875 |
| Square root | 86.458082 (= 5√299) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 101 |
| Scientific notation | 7.475 × |
7475 in other forms
| Form | Value |
|---|---|
| In words | seven thousand four hundred and seventy-five |
| Binary (base 2) | 1110100110011 |
| Octal (base 8) | 16463 |
| Hexadecimal (base 16) | 1D33 |
| Base 3 | 101020212 |
| As time | 7475 seconds = 2 h 4 min 35 s |
Is 7475 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (7475 ÷ 5 = 1495) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7475 a prime number?
No. 7475 = × 13 × 23, so it is divisible by 5.
What are the factors of 7475?
1, 5, 13, 23, 25, 65, 115, 299, 325, 575, 1495, 7475.
What is 7475 in binary?
1110100110011 (hexadecimal 1D33, octal 16463).
What is the square root of 7475?
About 86.4581, exactly 5√299.
Is 7475 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 7475?
7475 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 23.