The number 74988
74988 is a composite number with 18 divisors. Its prime factorisation is × × 2083. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 2083, 4166, 6249, 8332, 12498, 18747, 24996 … 74988.
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How to work it out
- 1
What is special about 74988: a Harshad number: divisible by its digit sum 36.
- 2
74988 is composite. Its prime factorisation is
- 3
The divisors add up to 189644; without 74988 itself that is 114656, so 74988 is abundant (114656 is more than 74988). Euler's totient φ(74988) = 24984 numbers up to 74988 share no factor with it.
- 4
The digits of 74988 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74988 = 2^{2} \times 3^{2} \times 2083 \]74988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 189644 |
| Euler totient φ(n) | 24984 |
| Square | 5623200144 |
| Cube | 421672532398272 |
| Square root | 273.839369 (= 6√2083) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.4988 × |
74988 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand nine hundred and eighty-eight |
| Binary (base 2) | 10010010011101100 |
| Octal (base 8) | 222354 |
| Hexadecimal (base 16) | 124EC |
| Base 3 | 10210212100 |
| As time | 74988 seconds = 20 h 49 min 48 s |
Is 74988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74988 ÷ 2 = 37494) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (74988 ÷ 3 = 24996) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (74988 ÷ 4 = 18747) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (74988 ÷ 6 = 12498) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (74988 ÷ 9 = 8332) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 (74988 ÷ 12 = 6249) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74988 a prime number?
No. 74988 = × × 2083, so it is divisible by 2.
What are the factors of 74988?
1, 2, 3, 4, 6, 9, 12, 18, 36, 2083, 4166, 6249, 8332, 12498, 18747, 24996, 37494, 74988.
What is 74988 in binary?
10010010011101100 (hexadecimal 124EC, octal 222354).
What is the square root of 74988?
About 273.8394, exactly 6√2083.
Is 74988 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 74988?
74988 is a Harshad number: divisible by its digit sum 36.