The number 59880
59880 is a composite number with 32 divisors. Its prime factorisation is × 3 × 5 × 499. Divisors (32): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 … 59880.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59880: a Harshad number: divisible by its digit sum 30.
- 2
59880 is composite. Its prime factorisation is
- 3
The divisors add up to 180000; without 59880 itself that is 120120, so 59880 is abundant (120120 is more than 59880). Euler's totient φ(59880) = 15936 numbers up to 59880 share no factor with it.
- 4
The digits of 59880 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59880 = 2^{3} \times 3 \times 5 \times 499 \]59880 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 180000 |
| Euler totient φ(n) | 15936 |
| Square | 3585614400 |
| Cube | 214706590272000 |
| Square root | 244.703903 (= 2√14970) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.988 × |
59880 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand eight hundred and eighty |
| Binary (base 2) | 1110100111101000 |
| Octal (base 8) | 164750 |
| Hexadecimal (base 16) | E9E8 |
| Base 3 | 10001010210 |
| As time | 59880 seconds = 16 h 38 min 0 s |
Is 59880 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59880 ÷ 2 = 29940) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (59880 ÷ 3 = 19960) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (59880 ÷ 4 = 14970) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (59880 ÷ 5 = 11976) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (59880 ÷ 6 = 9980) | 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 | Yes (59880 ÷ 8 = 7485) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (59880 ÷ 10 = 5988) | 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 | Yes (59880 ÷ 12 = 4990) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59880 a prime number?
No. 59880 = × 3 × 5 × 499, so it is divisible by 2.
What are the factors of 59880?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 499, 998, 1497, 1996, 2495, 2994, 3992, 4990, 5988, 7485, 9980, 11976, 14970, 19960, 29940, 59880.
What is 59880 in binary?
1110100111101000 (hexadecimal E9E8, octal 164750).
What is the square root of 59880?
About 244.7039, exactly 2√14970.
Is 59880 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 59880?
59880 is a Harshad number: divisible by its digit sum 30.