The number 7474
7474 is a composite number with 8 divisors. Its prime factorisation is 2 × 37 × 101. Divisors (8): 1, 2, 37, 74, 101, 202, 3737, 7474.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7474: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
7474 is composite. Its prime factorisation is
- 3
The divisors add up to 11628; without 7474 itself that is 4154, so 7474 is deficient (4154 is less than 7474). Euler's totient φ(7474) = 3600 numbers up to 7474 share no factor with it.
- 4
The digits of 7474 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7474 = 2 \times 37 \times 101 \]
7474 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 11628 |
| Euler totient φ(n) | 3600 |
| Square | 55860676 |
| Cube | 417502692424 |
| Square root | 86.452299 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 101 |
| Scientific notation | 7.474 × |
7474 in other forms
| Form | Value |
|---|---|
| In words | seven thousand four hundred and seventy-four |
| Binary (base 2) | 1110100110010 |
| Octal (base 8) | 16462 |
| Hexadecimal (base 16) | 1D32 |
| Base 3 | 101020211 |
| As time | 7474 seconds = 2 h 4 min 34 s |
Is 7474 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7474 ÷ 2 = 3737) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 5) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7474 a prime number?
No. 7474 = 2 × 37 × 101, so it is divisible by 2.
What are the factors of 7474?
1, 2, 37, 74, 101, 202, 3737, 7474.
What is 7474 in binary?
1110100110010 (hexadecimal 1D32, octal 16462).
What is the square root of 7474?
About 86.4523.
Is 7474 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 7474?
7474 is a happy number: repeatedly adding the squares of its digits reaches 1.