The number 74509
74509 is a twin prime (74507 and 74509 are both prime) and the 7349th prime number. Its only divisors are 1 and 74509.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74509: a twin prime (74507 and 74509 are both prime); the 7349th prime number.
- 2
74509 is prime, so its only factors are 1 and 74509. It is the 7349th prime; the next prime is 74521 and the one before is 74507.
- 3
The divisors add up to 74510; without 74509 itself that is 1, so 74509 is deficient (1 is less than 74509). Euler's totient φ(74509) = 74508 numbers up to 74509 share no factor with it.
- 4
The digits of 74509 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
74509 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 74510 |
| Euler totient φ(n) | 74508 |
| Square | 5551591081 |
| Cube | 413643499854229 |
| Square root | 272.963368 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.4509 × |
74509 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand five hundred and nine |
| Binary (base 2) | 10010001100001101 |
| Octal (base 8) | 221415 |
| Hexadecimal (base 16) | 1230D |
| Base 3 | 10210012121 |
| As time | 74509 seconds = 20 h 41 min 49 s |
Is 74509 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 7) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74509 a prime number?
Yes. 74509 is divisible only by 1 and itself.
What are the factors of 74509?
1, 74509.
What is 74509 in binary?
10010001100001101 (hexadecimal 1230D, octal 221415).
What is the square root of 74509?
About 272.9634.
Is 74509 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 74509?
74509 is a twin prime (74507 and 74509 are both prime); the 7349th prime number.