The number 59946
59946 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 97 × 103. Divisors (16): 1, 2, 3, 6, 97, 103, 194, 206, 291, 309, 582, 618, 9991, 19982, 29973, 59946.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59946: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
59946 is composite. Its prime factorisation is
- 3
The divisors add up to 122304; without 59946 itself that is 62358, so 59946 is abundant (62358 is more than 59946). Euler's totient φ(59946) = 19584 numbers up to 59946 share no factor with it.
- 4
The digits of 59946 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59946 = 2 \times 3 \times 97 \times 103 \]
59946 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 122304 |
| Euler totient φ(n) | 19584 |
| Square | 3593522916 |
| Cube | 215417324722536 |
| Square root | 244.838722 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.9946 × |
59946 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand nine hundred and forty-six |
| Binary (base 2) | 1110101000101010 |
| Octal (base 8) | 165052 |
| Hexadecimal (base 16) | EA2A |
| Base 3 | 10001020020 |
| As time | 59946 seconds = 16 h 39 min 6 s |
Is 59946 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59946 ÷ 2 = 29973) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (59946 ÷ 3 = 19982) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (59946 ÷ 6 = 9991) | 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 2) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59946 a prime number?
No. 59946 = 2 × 3 × 97 × 103, so it is divisible by 2.
What are the factors of 59946?
1, 2, 3, 6, 97, 103, 194, 206, 291, 309, 582, 618, 9991, 19982, 29973, 59946.
What is 59946 in binary?
1110101000101010 (hexadecimal EA2A, octal 165052).
What is the square root of 59946?
About 244.8387.
Is 59946 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 59946?
59946 is a happy number: repeatedly adding the squares of its digits reaches 1.