The number 59901
59901 is a composite number with 8 divisors. Its prime factorisation is 3 × 41 × 487. Divisors (8): 1, 3, 41, 123, 487, 1461, 19967, 59901.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59901: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
59901 is composite. Its prime factorisation is
- 3
The divisors add up to 81984; without 59901 itself that is 22083, so 59901 is deficient (22083 is less than 59901). Euler's totient φ(59901) = 38880 numbers up to 59901 share no factor with it.
- 4
The digits of 59901 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59901 = 3 \times 41 \times 487 \]
59901 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 81984 |
| Euler totient φ(n) | 38880 |
| Square | 3588129801 |
| Cube | 214932563209701 |
| Square root | 244.746808 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.9901 × |
59901 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand nine hundred and one |
| Binary (base 2) | 1110100111111101 |
| Octal (base 8) | 164775 |
| Hexadecimal (base 16) | E9FD |
| Base 3 | 10001011120 |
| As time | 59901 seconds = 16 h 38 min 21 s |
Is 59901 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 | Yes (59901 ÷ 3 = 19967) | 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 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59901 a prime number?
No. 59901 = 3 × 41 × 487, so it is divisible by 3.
What are the factors of 59901?
1, 3, 41, 123, 487, 1461, 19967, 59901.
What is 59901 in binary?
1110100111111101 (hexadecimal E9FD, octal 164775).
What is the square root of 59901?
About 244.7468.
Is 59901 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 59901?
59901 is a happy number: repeatedly adding the squares of its digits reaches 1.