The number 74948
74948 is a composite number with 12 divisors. Its prime factorisation is × 41 × 457. Divisors (12): 1, 2, 4, 41, 82, 164, 457, 914, 1828, 18737, 37474, 74948.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74948: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74948 is composite. Its prime factorisation is
- 3
The divisors add up to 134652; without 74948 itself that is 59704, so 74948 is deficient (59704 is less than 74948). Euler's totient φ(74948) = 36480 numbers up to 74948 share no factor with it.
- 4
The digits of 74948 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 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74948 = 2^{2} \times 41 \times 457 \]74948 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 134652 |
| Euler totient φ(n) | 36480 |
| Square | 5617202704 |
| Cube | 420998108259392 |
| Square root | 273.766324 (= 2√18737) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.4948 × |
74948 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand nine hundred and forty-eight |
| Binary (base 2) | 10010010011000100 |
| Octal (base 8) | 222304 |
| Hexadecimal (base 16) | 124C4 |
| Base 3 | 10210210212 |
| As time | 74948 seconds = 20 h 49 min 8 s |
Is 74948 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74948 ÷ 2 = 37474) | 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 (74948 ÷ 4 = 18737) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 5) | 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 5) | 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 74948 a prime number?
No. 74948 = × 41 × 457, so it is divisible by 2.
What are the factors of 74948?
1, 2, 4, 41, 82, 164, 457, 914, 1828, 18737, 37474, 74948.
What is 74948 in binary?
10010010011000100 (hexadecimal 124C4, octal 222304).
What is the square root of 74948?
About 273.7663, exactly 2√18737.
Is 74948 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 74948?
74948 is a happy number: repeatedly adding the squares of its digits reaches 1.