The number 74709
74709 is a composite number with 8 divisors. Its prime factorisation is × 2767. Divisors (8): 1, 3, 9, 27, 2767, 8301, 24903, 74709.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74709: a Harshad number: divisible by its digit sum 27.
- 2
74709 is composite. Its prime factorisation is
- 3
The divisors add up to 110720; without 74709 itself that is 36011, so 74709 is deficient (36011 is less than 74709). Euler's totient φ(74709) = 49788 numbers up to 74709 share no factor with it.
- 4
The digits of 74709 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74709 = 3^{3} \times 2767 \]74709 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 110720 |
| Euler totient φ(n) | 49788 |
| Square | 5581434681 |
| Cube | 416983403582829 |
| Square root | 273.329472 (= 3√8301) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.4709 × |
74709 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand seven hundred and nine |
| Binary (base 2) | 10010001111010101 |
| Octal (base 8) | 221725 |
| Hexadecimal (base 16) | 123D5 |
| Base 3 | 10210111000 |
| As time | 74709 seconds = 20 h 45 min 9 s |
Is 74709 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 (74709 ÷ 3 = 24903) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (74709 ÷ 9 = 8301) | 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 8) | 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 74709 a prime number?
No. 74709 = × 2767, so it is divisible by 3.
What are the factors of 74709?
1, 3, 9, 27, 2767, 8301, 24903, 74709.
What is 74709 in binary?
10010001111010101 (hexadecimal 123D5, octal 221725).
What is the square root of 74709?
About 273.3295, exactly 3√8301.
Is 74709 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 74709?
74709 is a Harshad number: divisible by its digit sum 27.