The number 88980
88980 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 1483. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1483, 2966, 4449, 5932 … 88980.
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How to work it out
- 1
88980 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
88980 is composite. Its prime factorisation is
- 3
The divisors add up to 249312; without 88980 itself that is 160332, so 88980 is abundant (160332 is more than 88980). Euler's totient φ(88980) = 23712 numbers up to 88980 share no factor with it.
- 4
The digits of 88980 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 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88980 = 2^{2} \times 3 \times 5 \times 1483 \]88980 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 249312 |
| Euler totient φ(n) | 23712 |
| Square | 7917440400 |
| Cube | 704493846792000 |
| Square root | 298.295156 (= 2√22245) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.898 × |
88980 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand nine hundred and eighty |
| Binary (base 2) | 10101101110010100 |
| Octal (base 8) | 255624 |
| Hexadecimal (base 16) | 15B94 |
| Base 3 | 11112001120 |
| As time | 88980 seconds = 24 h 43 min 0 s |
Is 88980 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88980 ÷ 2 = 44490) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (88980 ÷ 3 = 29660) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (88980 ÷ 4 = 22245) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (88980 ÷ 5 = 17796) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (88980 ÷ 6 = 14830) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (88980 ÷ 10 = 8898) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (88980 ÷ 12 = 7415) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88980 a prime number?
No. 88980 = × 3 × 5 × 1483, so it is divisible by 2.
What are the factors of 88980?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1483, 2966, 4449, 5932, 7415, 8898, 14830, 17796, 22245, 29660, 44490, 88980.
What is 88980 in binary?
10101101110010100 (hexadecimal 15B94, octal 255624).
What is the square root of 88980?
About 298.2952, exactly 2√22245.
Is 88980 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 88980?
It is a composite number with 24 divisors.