The number 31201
31201 is a composite number with 4 divisors. Its prime factorisation is 41 × 761. Divisors (4): 1, 41, 761, 31201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31201: a semiprime: 41 × 761, the product of two primes.
- 2
31201 is composite. Its prime factorisation is
- 3
The divisors add up to 32004; without 31201 itself that is 803, so 31201 is deficient (803 is less than 31201). Euler's totient φ(31201) = 30400 numbers up to 31201 share no factor with it.
- 4
The digits of 31201 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31201 = 41 \times 761 \]
31201 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 32004 |
| Euler totient φ(n) | 30400 |
| Square | 973502401 |
| Cube | 30374248413601 |
| Square root | 176.638048 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1201 × |
31201 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand two hundred and one |
| Binary (base 2) | 111100111100001 |
| Octal (base 8) | 74741 |
| Hexadecimal (base 16) | 79E1 |
| Base 3 | 1120210121 |
| As time | 31201 seconds = 8 h 40 min 1 s |
Is 31201 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 2) | 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 5) | 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 31201 a prime number?
No. 31201 = 41 × 761, so it is divisible by 41.
What are the factors of 31201?
1, 41, 761, 31201.
What is 31201 in binary?
111100111100001 (hexadecimal 79E1, octal 74741).
What is the square root of 31201?
About 176.6380.
Is 31201 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 31201?
31201 is a semiprime: 41 × 761, the product of two primes.