The number 74437
74437 is a composite number with 8 divisors. Its prime factorisation is 11 × 67 × 101. Divisors (8): 1, 11, 67, 101, 737, 1111, 6767, 74437.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74437: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74437 is composite. Its prime factorisation is
- 3
The divisors add up to 83232; without 74437 itself that is 8795, so 74437 is deficient (8795 is less than 74437). Euler's totient φ(74437) = 66000 numbers up to 74437 share no factor with it.
- 4
The digits of 74437 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 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74437 = 11 \times 67 \times 101 \]
74437 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 83232 |
| Euler totient φ(n) | 66000 |
| Square | 5540866969 |
| Cube | 412445514571453 |
| Square root | 272.831450 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.4437 × |
74437 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand four hundred and thirty-seven |
| Binary (base 2) | 10010001011000101 |
| Octal (base 8) | 221305 |
| Hexadecimal (base 16) | 122C5 |
| Base 3 | 10210002221 |
| As time | 74437 seconds = 20 h 40 min 37 s |
Is 74437 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 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 5) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (74437 ÷ 11 = 6767) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74437 a prime number?
No. 74437 = 11 × 67 × 101, so it is divisible by 11.
What are the factors of 74437?
1, 11, 67, 101, 737, 1111, 6767, 74437.
What is 74437 in binary?
10010001011000101 (hexadecimal 122C5, octal 221305).
What is the square root of 74437?
About 272.8314.
Is 74437 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 74437?
74437 is a happy number: repeatedly adding the squares of its digits reaches 1.