The number 74501
74501 is a composite number with 8 divisors. Its prime factorisation is 7 × 29 × 367. Divisors (8): 1, 7, 29, 203, 367, 2569, 10643, 74501.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74501: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74501 is composite. Its prime factorisation is
- 3
The divisors add up to 88320; without 74501 itself that is 13819, so 74501 is deficient (13819 is less than 74501). Euler's totient φ(74501) = 61488 numbers up to 74501 share no factor with it.
- 4
The digits of 74501 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74501 = 7 \times 29 \times 367 \]
74501 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 88320 |
| Euler totient φ(n) | 61488 |
| Square | 5550399001 |
| Cube | 413510275973501 |
| Square root | 272.948713 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.4501 × |
74501 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand five hundred and one |
| Binary (base 2) | 10010001100000101 |
| Octal (base 8) | 221405 |
| Hexadecimal (base 16) | 12305 |
| Base 3 | 10210012022 |
| As time | 74501 seconds = 20 h 41 min 41 s |
Is 74501 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | Yes (74501 ÷ 7 = 10643) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74501 a prime number?
No. 74501 = 7 × 29 × 367, so it is divisible by 7.
What are the factors of 74501?
1, 7, 29, 203, 367, 2569, 10643, 74501.
What is 74501 in binary?
10010001100000101 (hexadecimal 12305, octal 221405).
What is the square root of 74501?
About 272.9487.
Is 74501 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 74501?
74501 is a happy number: repeatedly adding the squares of its digits reaches 1.