The number 74507
74507 is a twin prime (74507 and 74509 are both prime) and the 7348th prime number. Its only divisors are 1 and 74507.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74507: a twin prime (74507 and 74509 are both prime); the 7348th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74507 is prime, so its only factors are 1 and 74507. It is the 7348th prime; the next prime is 74509 and the one before is 74489.
- 3
The divisors add up to 74508; without 74507 itself that is 1, so 74507 is deficient (1 is less than 74507). Euler's totient φ(74507) = 74506 numbers up to 74507 share no factor with it.
- 4
The digits of 74507 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
74507 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 74508 |
| Euler totient φ(n) | 74506 |
| Square | 5551293049 |
| Cube | 413610191201843 |
| Square root | 272.959704 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.4507 × |
74507 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand five hundred and seven |
| Binary (base 2) | 10010001100001011 |
| Octal (base 8) | 221413 |
| Hexadecimal (base 16) | 1230B |
| Base 3 | 10210012112 |
| As time | 74507 seconds = 20 h 41 min 47 s |
Is 74507 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 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74507 a prime number?
Yes. 74507 is divisible only by 1 and itself.
What are the factors of 74507?
1, 74507.
What is 74507 in binary?
10010001100001011 (hexadecimal 1230B, octal 221413).
What is the square root of 74507?
About 272.9597.
Is 74507 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 74507?
74507 is a twin prime (74507 and 74509 are both prime); the 7348th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.