The number 754
754 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 29. Divisors (8): 1, 2, 13, 26, 29, 58, 377, 754.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
754 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
754 is composite. Its prime factorisation is
- 3
The divisors add up to 1260; without 754 itself that is 506, so 754 is deficient (506 is less than 754). Euler's totient φ(754) = 336 numbers up to 754 share no factor with it.
- 4
The digits of 754 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 754 = 2 \times 13 \times 29 \]
754 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 1260 |
| Euler totient φ(n) | 336 |
| Square | 568516 |
| Cube | 428661064 |
| Square root | 27.459060 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 64 |
| Scientific notation | 7.54 × |
754 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and fifty-four |
| Roman numerals | DCCLIV |
| Binary (base 2) | 1011110010 |
| Octal (base 8) | 1362 |
| Hexadecimal (base 16) | 2F2 |
| Base 3 | 1000221 |
| As time | 754 seconds = 12 min 34 s |
Is 754 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (754 ÷ 2 = 377) | 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 4) | 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 | No (remainder 5) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 6) | 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 754 a prime number?
No. 754 = 2 × 13 × 29, so it is divisible by 2.
What are the factors of 754?
1, 2, 13, 26, 29, 58, 377, 754.
What is 754 in binary?
1011110010 (hexadecimal 2F2, octal 1362).
What is the square root of 754?
About 27.4591.
What is 754 in Roman numerals?
DCCLIV.
Is 754 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 754?
It is a composite number with 8 divisors.