The number 74949
74949 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 43 × 83. Divisors (16): 1, 3, 7, 21, 43, 83, 129, 249, 301, 581, 903, 1743, 3569, 10707, 24983, 74949.
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How to work it out
- 1
74949 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74949 is composite. Its prime factorisation is
- 3
The divisors add up to 118272; without 74949 itself that is 43323, so 74949 is deficient (43323 is less than 74949). Euler's totient φ(74949) = 41328 numbers up to 74949 share no factor with it.
- 4
The digits of 74949 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74949 = 3 \times 7 \times 43 \times 83 \]
74949 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 118272 |
| Euler totient φ(n) | 41328 |
| Square | 5617352601 |
| Cube | 421014960092349 |
| Square root | 273.768150 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.4949 × |
74949 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand nine hundred and forty-nine |
| Binary (base 2) | 10010010011000101 |
| Octal (base 8) | 222305 |
| Hexadecimal (base 16) | 124C5 |
| Base 3 | 10210210220 |
| As time | 74949 seconds = 20 h 49 min 9 s |
Is 74949 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (74949 ÷ 3 = 24983) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (74949 ÷ 7 = 10707) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74949 a prime number?
No. 74949 = 3 × 7 × 43 × 83, so it is divisible by 3.
What are the factors of 74949?
1, 3, 7, 21, 43, 83, 129, 249, 301, 581, 903, 1743, 3569, 10707, 24983, 74949.
What is 74949 in binary?
10010010011000101 (hexadecimal 124C5, octal 222305).
What is the square root of 74949?
About 273.7682.
Is 74949 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 74949?
It is a composite number with 16 divisors.