The number 74124
74124 is a composite number with 36 divisors. Its prime factorisation is × × 29 × 71. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 71, 87, 116, 142, 174 … 74124.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74124: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
74124 is composite. Its prime factorisation is
- 3
The divisors add up to 196560; without 74124 itself that is 122436, so 74124 is abundant (122436 is more than 74124). Euler's totient φ(74124) = 23520 numbers up to 74124 share no factor with it.
- 4
The digits of 74124 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74124 = 2^{2} \times 3^{2} \times 29 \times 71 \]74124 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 196560 |
| Euler totient φ(n) | 23520 |
| Square | 5494367376 |
| Cube | 407264487378624 |
| Square root | 272.257231 (= 6√2059) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.4124 × |
74124 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand one hundred and twenty-four |
| Binary (base 2) | 10010000110001100 |
| Octal (base 8) | 220614 |
| Hexadecimal (base 16) | 1218C |
| Base 3 | 10202200100 |
| As time | 74124 seconds = 20 h 35 min 24 s |
Is 74124 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74124 ÷ 2 = 37062) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (74124 ÷ 3 = 24708) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (74124 ÷ 4 = 18531) | 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 | Yes (74124 ÷ 6 = 12354) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (74124 ÷ 9 = 8236) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 | Yes (74124 ÷ 12 = 6177) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74124 a prime number?
No. 74124 = × × 29 × 71, so it is divisible by 2.
What are the factors of 74124?
1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 71, 87, 116, 142, 174, 213, 261, 284, 348, 426, 522, 639, 852, 1044, 1278, 2059, 2556, 4118, 6177, 8236, 12354, 18531, 24708, 37062, 74124.
What is 74124 in binary?
10010000110001100 (hexadecimal 1218C, octal 220614).
What is the square root of 74124?
About 272.2572, exactly 6√2059.
Is 74124 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 74124?
74124 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.