The number 59960
59960 is a composite number with 16 divisors. Its prime factorisation is × 5 × 1499. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1499, 2998, 5996, 7495, 11992, 14990, 29980, 59960.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
59960 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59960 is composite. Its prime factorisation is
- 3
The divisors add up to 135000; without 59960 itself that is 75040, so 59960 is abundant (75040 is more than 59960). Euler's totient φ(59960) = 23968 numbers up to 59960 share no factor with it.
- 4
The digits of 59960 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59960 = 2^{3} \times 5 \times 1499 \]59960 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 135000 |
| Euler totient φ(n) | 23968 |
| Square | 3595201600 |
| Cube | 215568287936000 |
| Square root | 244.867311 (= 2√14990) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.996 × |
59960 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand nine hundred and sixty |
| Binary (base 2) | 1110101000111000 |
| Octal (base 8) | 165070 |
| Hexadecimal (base 16) | EA38 |
| Base 3 | 10001020202 |
| As time | 59960 seconds = 16 h 39 min 20 s |
Is 59960 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59960 ÷ 2 = 29980) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (59960 ÷ 4 = 14990) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (59960 ÷ 5 = 11992) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | Yes (59960 ÷ 8 = 7495) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (59960 ÷ 10 = 5996) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59960 a prime number?
No. 59960 = × 5 × 1499, so it is divisible by 2.
What are the factors of 59960?
1, 2, 4, 5, 8, 10, 20, 40, 1499, 2998, 5996, 7495, 11992, 14990, 29980, 59960.
What is 59960 in binary?
1110101000111000 (hexadecimal EA38, octal 165070).
What is the square root of 59960?
About 244.8673, exactly 2√14990.
Is 59960 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 59960?
It is a composite number with 16 divisors.