The number 74123
74123 is a composite number with 4 divisors. Its prime factorisation is 7 × 10589. Divisors (4): 1, 7, 10589, 74123.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74123: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 10589, the product of two primes.
- 2
74123 is composite. Its prime factorisation is
- 3
The divisors add up to 84720; without 74123 itself that is 10597, so 74123 is deficient (10597 is less than 74123). Euler's totient φ(74123) = 63528 numbers up to 74123 share no factor with it.
- 4
The digits of 74123 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74123 = 7 \times 10589 \]
74123 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 84720 |
| Euler totient φ(n) | 63528 |
| Square | 5494219129 |
| Cube | 407248004498867 |
| Square root | 272.255395 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.4123 × |
74123 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand one hundred and twenty-three |
| Binary (base 2) | 10010000110001011 |
| Octal (base 8) | 220613 |
| Hexadecimal (base 16) | 1218B |
| Base 3 | 10202200022 |
| As time | 74123 seconds = 20 h 35 min 23 s |
Is 74123 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 3) | 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 | Yes (74123 ÷ 7 = 10589) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74123 a prime number?
No. 74123 = 7 × 10589, so it is divisible by 7.
What are the factors of 74123?
1, 7, 10589, 74123.
What is 74123 in binary?
10010000110001011 (hexadecimal 1218B, octal 220613).
What is the square root of 74123?
About 272.2554.
Is 74123 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 74123?
74123 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 10589, the product of two primes.