The number 59949
59949 is a composite number with 6 divisors. Its prime factorisation is × 6661. Divisors (6): 1, 3, 9, 6661, 19983, 59949.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
59949 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59949 is composite. Its prime factorisation is
- 3
The divisors add up to 86606; without 59949 itself that is 26657, so 59949 is deficient (26657 is less than 59949). Euler's totient φ(59949) = 39960 numbers up to 59949 share no factor with it.
- 4
The digits of 59949 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59949 = 3^{2} \times 6661 \]59949 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 86606 |
| Euler totient φ(n) | 39960 |
| Square | 3593882601 |
| Cube | 215449668047349 |
| Square root | 244.844849 (= 3√6661) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.9949 × |
59949 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand nine hundred and forty-nine |
| Binary (base 2) | 1110101000101101 |
| Octal (base 8) | 165055 |
| Hexadecimal (base 16) | EA2D |
| Base 3 | 10001020100 |
| As time | 59949 seconds = 16 h 39 min 9 s |
Is 59949 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 (59949 ÷ 3 = 19983) | 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 4) | 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 1) | 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 | Yes (59949 ÷ 9 = 6661) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59949 a prime number?
No. 59949 = × 6661, so it is divisible by 3.
What are the factors of 59949?
1, 3, 9, 6661, 19983, 59949.
What is 59949 in binary?
1110101000101101 (hexadecimal EA2D, octal 165055).
What is the square root of 59949?
About 244.8448, exactly 3√6661.
Is 59949 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 59949?
It is a composite number with 6 divisors.