The number 37474
37474 is a composite number with 8 divisors. Its prime factorisation is 2 × 41 × 457. Divisors (8): 1, 2, 41, 82, 457, 914, 18737, 37474.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37474: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
37474 is composite. Its prime factorisation is
- 3
The divisors add up to 57708; without 37474 itself that is 20234, so 37474 is deficient (20234 is less than 37474). Euler's totient φ(37474) = 18240 numbers up to 37474 share no factor with it.
- 4
The digits of 37474 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37474 = 2 \times 41 \times 457 \]
37474 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 57708 |
| Euler totient φ(n) | 18240 |
| Square | 1404300676 |
| Cube | 52624763532424 |
| Square root | 193.582024 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.7474 × |
37474 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand four hundred and seventy-four |
| Binary (base 2) | 1001001001100010 |
| Octal (base 8) | 111142 |
| Hexadecimal (base 16) | 9262 |
| Base 3 | 1220101221 |
| As time | 37474 seconds = 10 h 24 min 34 s |
Is 37474 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37474 ÷ 2 = 18737) | 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 3) | 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 7) | 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 8) | 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 37474 a prime number?
No. 37474 = 2 × 41 × 457, so it is divisible by 2.
What are the factors of 37474?
1, 2, 41, 82, 457, 914, 18737, 37474.
What is 37474 in binary?
1001001001100010 (hexadecimal 9262, octal 111142).
What is the square root of 37474?
About 193.5820.
Is 37474 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 37474?
37474 is a happy number: repeatedly adding the squares of its digits reaches 1.