The number 74984
74984 is a composite number with 32 divisors. Its prime factorisation is × 7 × 13 × 103. Divisors (32): 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 103, 104, 182, 206 … 74984.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74984: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74984 is composite. Its prime factorisation is
- 3
The divisors add up to 174720; without 74984 itself that is 99736, so 74984 is abundant (99736 is more than 74984). Euler's totient φ(74984) = 29376 numbers up to 74984 share no factor with it.
- 4
The digits of 74984 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74984 = 2^{3} \times 7 \times 13 \times 103 \]74984 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 174720 |
| Euler totient φ(n) | 29376 |
| Square | 5622600256 |
| Cube | 421605057595904 |
| Square root | 273.832065 (= 2√18746) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.4984 × |
74984 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand nine hundred and eighty-four |
| Binary (base 2) | 10010010011101000 |
| Octal (base 8) | 222350 |
| Hexadecimal (base 16) | 124E8 |
| Base 3 | 10210212012 |
| As time | 74984 seconds = 20 h 49 min 44 s |
Is 74984 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74984 ÷ 2 = 37492) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (74984 ÷ 4 = 18746) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (74984 ÷ 7 = 10712) | 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 (74984 ÷ 8 = 9373) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74984 a prime number?
No. 74984 = × 7 × 13 × 103, so it is divisible by 2.
What are the factors of 74984?
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 103, 104, 182, 206, 364, 412, 721, 728, 824, 1339, 1442, 2678, 2884, 5356, 5768, 9373, 10712, 18746, 37492, 74984.
What is 74984 in binary?
10010010011101000 (hexadecimal 124E8, octal 222350).
What is the square root of 74984?
About 273.8321, exactly 2√18746.
Is 74984 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 74984?
74984 is a happy number: repeatedly adding the squares of its digits reaches 1.