The number 74998
74998 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 11 × 487. Divisors (16): 1, 2, 7, 11, 14, 22, 77, 154, 487, 974, 3409, 5357, 6818, 10714, 37499, 74998.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74998: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74998 is composite. Its prime factorisation is
- 3
The divisors add up to 140544; without 74998 itself that is 65546, so 74998 is deficient (65546 is less than 74998). Euler's totient φ(74998) = 29160 numbers up to 74998 share no factor with it.
- 4
The digits of 74998 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74998 = 2 \times 7 \times 11 \times 487 \]
74998 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 140544 |
| Euler totient φ(n) | 29160 |
| Square | 5624700004 |
| Cube | 421841250899992 |
| Square root | 273.857627 |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 86 |
| Scientific notation | 7.4998 × |
74998 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand nine hundred and ninety-eight |
| Binary (base 2) | 10010010011110110 |
| Octal (base 8) | 222366 |
| Hexadecimal (base 16) | 124F6 |
| Base 3 | 10210212201 |
| As time | 74998 seconds = 20 h 49 min 58 s |
Is 74998 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74998 ÷ 2 = 37499) | 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 | No (remainder 2) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (74998 ÷ 7 = 10714) | 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 6) | 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 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (74998 ÷ 11 = 6818) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74998 a prime number?
No. 74998 = 2 × 7 × 11 × 487, so it is divisible by 2.
What are the factors of 74998?
1, 2, 7, 11, 14, 22, 77, 154, 487, 974, 3409, 5357, 6818, 10714, 37499, 74998.
What is 74998 in binary?
10010010011110110 (hexadecimal 124F6, octal 222366).
What is the square root of 74998?
About 273.8576.
Is 74998 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 74998?
74998 is a happy number: repeatedly adding the squares of its digits reaches 1.