The number 901
901 is a composite number with 4 divisors. Its prime factorisation is 17 × 53. Divisors (4): 1, 17, 53, 901.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 901: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 17 × 53, the product of two primes.
- 2
901 is composite. Its prime factorisation is
- 3
The divisors add up to 972; without 901 itself that is 71, so 901 is deficient (71 is less than 901). Euler's totient φ(901) = 832 numbers up to 901 share no factor with it.
- 4
The digits of 901 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 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 901 = 17 \times 53 \]
901 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 972 |
| Euler totient φ(n) | 832 |
| Square | 811801 |
| Cube | 731432701 |
| Square root | 30.016662 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 54 |
| Scientific notation | 9.01 × |
901 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and one |
| Roman numerals | CMI |
| Binary (base 2) | 1110000101 |
| Octal (base 8) | 1605 |
| Hexadecimal (base 16) | 385 |
| Base 3 | 1020101 |
| As time | 901 seconds = 15 min 1 s |
Is 901 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 5) | 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 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 901 a prime number?
No. 901 = 17 × 53, so it is divisible by 17.
What are the factors of 901?
1, 17, 53, 901.
What is 901 in binary?
1110000101 (hexadecimal 385, octal 1605).
What is the square root of 901?
About 30.0167.
What is 901 in Roman numerals?
CMI.
Is 901 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 901?
901 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 17 × 53, the product of two primes.