The number 88480
88480 is a composite number with 48 divisors. Its prime factorisation is × 5 × 7 × 79. Divisors (48): 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70 … 88480.
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How to work it out
- 1
What is special about 88480: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 28.
- 2
88480 is composite. Its prime factorisation is
- 3
The divisors add up to 241920; without 88480 itself that is 153440, so 88480 is abundant (153440 is more than 88480). Euler's totient φ(88480) = 29952 numbers up to 88480 share no factor with it.
- 4
The digits of 88480 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88480 = 2^{5} \times 5 \times 7 \times 79 \]88480 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 241920 |
| Euler totient φ(n) | 29952 |
| Square | 7828710400 |
| Cube | 692684296192000 |
| Square root | 297.455879 (= 4√5530) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.848 × |
88480 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand four hundred and eighty |
| Binary (base 2) | 10101100110100000 |
| Octal (base 8) | 254640 |
| Hexadecimal (base 16) | 159A0 |
| Base 3 | 11111101001 |
| As time | 88480 seconds = 24 h 34 min 40 s |
Is 88480 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88480 ÷ 2 = 44240) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (88480 ÷ 4 = 22120) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (88480 ÷ 5 = 17696) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (88480 ÷ 7 = 12640) | 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 (88480 ÷ 8 = 11060) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (88480 ÷ 10 = 8848) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88480 a prime number?
No. 88480 = × 5 × 7 × 79, so it is divisible by 2.
What are the factors of 88480?
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 79, 80, 112, 140, 158, 160, 224, 280, 316, 395, 553, 560, 632, 790, 1106, 1120, 1264, 1580, 2212, 2528, 2765, 3160, 4424, 5530, 6320, 8848, 11060, 12640, 17696, 22120, 44240, 88480.
What is 88480 in binary?
10101100110100000 (hexadecimal 159A0, octal 254640).
What is the square root of 88480?
About 297.4559, exactly 4√5530.
Is 88480 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 88480?
88480 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 28.