The number 23401
23401 is a composite number with 4 divisors. Its prime factorisation is 7 × 3343. Divisors (4): 1, 7, 3343, 23401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23401: a semiprime: 7 × 3343, the product of two primes.
- 2
23401 is composite. Its prime factorisation is
- 3
The divisors add up to 26752; without 23401 itself that is 3351, so 23401 is deficient (3351 is less than 23401). Euler's totient φ(23401) = 20052 numbers up to 23401 share no factor with it.
- 4
The digits of 23401 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 144 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23401 = 7 \times 3343 \]
23401 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 26752 |
| Euler totient φ(n) | 20052 |
| Square | 547606801 |
| Cube | 12814546750201 |
| Square root | 152.973854 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 144 |
| Scientific notation | 2.3401 × |
23401 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand four hundred and one |
| Binary (base 2) | 101101101101001 |
| Octal (base 8) | 55551 |
| Hexadecimal (base 16) | 5B69 |
| Base 3 | 1012002201 |
| As time | 23401 seconds = 6 h 30 min 1 s |
Is 23401 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 | Yes (23401 ÷ 7 = 3343) | 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 1) | 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 4) | 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 23401 a prime number?
No. 23401 = 7 × 3343, so it is divisible by 7.
What are the factors of 23401?
1, 7, 3343, 23401.
What is 23401 in binary?
101101101101001 (hexadecimal 5B69, octal 55551).
What is the square root of 23401?
About 152.9739.
Is 23401 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 23401?
23401 is a semiprime: 7 × 3343, the product of two primes.