The number 33901
33901 is a composite number with 8 divisors. Its prime factorisation is 7 × 29 × 167. Divisors (8): 1, 7, 29, 167, 203, 1169, 4843, 33901.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33901: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33901 is composite. Its prime factorisation is
- 3
The divisors add up to 40320; without 33901 itself that is 6419, so 33901 is deficient (6419 is less than 33901). Euler's totient φ(33901) = 27888 numbers up to 33901 share no factor with it.
- 4
The digits of 33901 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 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33901 = 7 \times 29 \times 167 \]
33901 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 40320 |
| Euler totient φ(n) | 27888 |
| Square | 1149277801 |
| Cube | 38961666731701 |
| Square root | 184.122242 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.3901 × |
33901 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and one |
| Binary (base 2) | 1000010001101101 |
| Octal (base 8) | 102155 |
| Hexadecimal (base 16) | 846D |
| Base 3 | 1201111121 |
| As time | 33901 seconds = 9 h 25 min 1 s |
Is 33901 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 (33901 ÷ 7 = 4843) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 33901 a prime number?
No. 33901 = 7 × 29 × 167, so it is divisible by 7.
What are the factors of 33901?
1, 7, 29, 167, 203, 1169, 4843, 33901.
What is 33901 in binary?
1000010001101101 (hexadecimal 846D, octal 102155).
What is the square root of 33901?
About 184.1222.
Is 33901 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 33901?
33901 is a happy number: repeatedly adding the squares of its digits reaches 1.