The number 73749
73749 is a composite number with 16 divisors. Its prime factorisation is 3 × 13 × 31 × 61. Divisors (16): 1, 3, 13, 31, 39, 61, 93, 183, 403, 793, 1209, 1891, 2379, 5673, 24583, 73749.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73749 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73749 is composite. Its prime factorisation is
- 3
The divisors add up to 111104; without 73749 itself that is 37355, so 73749 is deficient (37355 is less than 73749). Euler's totient φ(73749) = 43200 numbers up to 73749 share no factor with it.
- 4
The digits of 73749 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73749 = 3 \times 13 \times 31 \times 61 \]
73749 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 111104 |
| Euler totient φ(n) | 43200 |
| Square | 5438915001 |
| Cube | 401114542408749 |
| Square root | 271.567671 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.3749 × |
73749 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand seven hundred and forty-nine |
| Binary (base 2) | 10010000000010101 |
| Octal (base 8) | 220025 |
| Hexadecimal (base 16) | 12015 |
| Base 3 | 10202011110 |
| As time | 73749 seconds = 20 h 29 min 9 s |
Is 73749 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 (73749 ÷ 3 = 24583) | 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 | No (remainder 4) | 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 3) | 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 5) | 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 73749 a prime number?
No. 73749 = 3 × 13 × 31 × 61, so it is divisible by 3.
What are the factors of 73749?
1, 3, 13, 31, 39, 61, 93, 183, 403, 793, 1209, 1891, 2379, 5673, 24583, 73749.
What is 73749 in binary?
10010000000010101 (hexadecimal 12015, octal 220025).
What is the square root of 73749?
About 271.5677.
Is 73749 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 73749?
It is a composite number with 16 divisors.