The number 40474
40474 is a composite number with 16 divisors. Its prime factorisation is 2 × × 59. Divisors (16): 1, 2, 7, 14, 49, 59, 98, 118, 343, 413, 686, 826, 2891, 5782, 20237, 40474.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40474: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
40474 is composite. Its prime factorisation is
- 3
The divisors add up to 72000; without 40474 itself that is 31526, so 40474 is deficient (31526 is less than 40474). Euler's totient φ(40474) = 17052 numbers up to 40474 share no factor with it.
- 4
The digits of 40474 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 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40474 = 2 \times 7^{3} \times 59 \]40474 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 72000 |
| Euler totient φ(n) | 17052 |
| Square | 1638144676 |
| Cube | 66302267616424 |
| Square root | 201.181510 (= 7√826) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.0474 × |
40474 in other forms
| Form | Value |
|---|---|
| In words | forty thousand four hundred and seventy-four |
| Binary (base 2) | 1001111000011010 |
| Octal (base 8) | 117032 |
| Hexadecimal (base 16) | 9E1A |
| Base 3 | 2001112001 |
| As time | 40474 seconds = 11 h 14 min 34 s |
Is 40474 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40474 ÷ 2 = 20237) | 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 | Yes (40474 ÷ 7 = 5782) | 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 1) | 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 40474 a prime number?
No. 40474 = 2 × × 59, so it is divisible by 2.
What are the factors of 40474?
1, 2, 7, 14, 49, 59, 98, 118, 343, 413, 686, 826, 2891, 5782, 20237, 40474.
What is 40474 in binary?
1001111000011010 (hexadecimal 9E1A, octal 117032).
What is the square root of 40474?
About 201.1815, exactly 7√826.
Is 40474 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 40474?
40474 is a happy number: repeatedly adding the squares of its digits reaches 1.