The number 74401
74401 is a composite number with 4 divisors. Its prime factorisation is 47 × 1583. Divisors (4): 1, 47, 1583, 74401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74401: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 47 × 1583, the product of two primes.
- 2
74401 is composite. Its prime factorisation is
- 3
The divisors add up to 76032; without 74401 itself that is 1631, so 74401 is deficient (1631 is less than 74401). Euler's totient φ(74401) = 72772 numbers up to 74401 share no factor with it.
- 4
The digits of 74401 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74401 = 47 \times 1583 \]
74401 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 76032 |
| Euler totient φ(n) | 72772 |
| Square | 5535508801 |
| Cube | 411847390303201 |
| Square root | 272.765467 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 138 |
| Scientific notation | 7.4401 × |
74401 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand four hundred and one |
| Binary (base 2) | 10010001010100001 |
| Octal (base 8) | 221241 |
| Hexadecimal (base 16) | 122A1 |
| Base 3 | 10210001121 |
| As time | 74401 seconds = 20 h 40 min 1 s |
Is 74401 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 1) | 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 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 1) | 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 1) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74401 a prime number?
No. 74401 = 47 × 1583, so it is divisible by 47.
What are the factors of 74401?
1, 47, 1583, 74401.
What is 74401 in binary?
10010001010100001 (hexadecimal 122A1, octal 221241).
What is the square root of 74401?
About 272.7655.
Is 74401 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 74401?
74401 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 47 × 1583, the product of two primes.