The number 58980
58980 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 983. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 983, 1966, 2949, 3932 … 58980.
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How to work it out
- 1
What is special about 58980: a Harshad number: divisible by its digit sum 30.
- 2
58980 is composite. Its prime factorisation is
- 3
The divisors add up to 165312; without 58980 itself that is 106332, so 58980 is abundant (106332 is more than 58980). Euler's totient φ(58980) = 15712 numbers up to 58980 share no factor with it.
- 4
The digits of 58980 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 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58980 = 2^{2} \times 3 \times 5 \times 983 \]58980 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 165312 |
| Euler totient φ(n) | 15712 |
| Square | 3478640400 |
| Cube | 205170210792000 |
| Square root | 242.857983 (= 2√14745) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.898 × |
58980 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand nine hundred and eighty |
| Binary (base 2) | 1110011001100100 |
| Octal (base 8) | 163144 |
| Hexadecimal (base 16) | E664 |
| Base 3 | 2222220110 |
| As time | 58980 seconds = 16 h 23 min 0 s |
Is 58980 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58980 ÷ 2 = 29490) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (58980 ÷ 3 = 19660) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (58980 ÷ 4 = 14745) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (58980 ÷ 5 = 11796) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (58980 ÷ 6 = 9830) | 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 4) | 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 (58980 ÷ 10 = 5898) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (58980 ÷ 12 = 4915) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58980 a prime number?
No. 58980 = × 3 × 5 × 983, so it is divisible by 2.
What are the factors of 58980?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 983, 1966, 2949, 3932, 4915, 5898, 9830, 11796, 14745, 19660, 29490, 58980.
What is 58980 in binary?
1110011001100100 (hexadecimal E664, octal 163144).
What is the square root of 58980?
About 242.8580, exactly 2√14745.
Is 58980 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 58980?
58980 is a Harshad number: divisible by its digit sum 30.