The number 74740
74740 is a composite number with 24 divisors. Its prime factorisation is × 5 × 37 × 101. Divisors (24): 1, 2, 4, 5, 10, 20, 37, 74, 101, 148, 185, 202, 370, 404, 505, 740 … 74740.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74740: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74740 is composite. Its prime factorisation is
- 3
The divisors add up to 162792; without 74740 itself that is 88052, so 74740 is abundant (88052 is more than 74740). Euler's totient φ(74740) = 28800 numbers up to 74740 share no factor with it.
- 4
The digits of 74740 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74740 = 2^{2} \times 5 \times 37 \times 101 \]74740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 162792 |
| Euler totient φ(n) | 28800 |
| Square | 5586067600 |
| Cube | 417502692424000 |
| Square root | 273.386174 (= 2√18685) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.474 × |
74740 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand seven hundred and forty |
| Binary (base 2) | 10010001111110100 |
| Octal (base 8) | 221764 |
| Hexadecimal (base 16) | 123F4 |
| Base 3 | 10210112011 |
| As time | 74740 seconds = 20 h 45 min 40 s |
Is 74740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74740 ÷ 2 = 37370) | 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 | Yes (74740 ÷ 4 = 18685) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (74740 ÷ 5 = 14948) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (74740 ÷ 10 = 7474) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74740 a prime number?
No. 74740 = × 5 × 37 × 101, so it is divisible by 2.
What are the factors of 74740?
1, 2, 4, 5, 10, 20, 37, 74, 101, 148, 185, 202, 370, 404, 505, 740, 1010, 2020, 3737, 7474, 14948, 18685, 37370, 74740.
What is 74740 in binary?
10010001111110100 (hexadecimal 123F4, octal 221764).
What is the square root of 74740?
About 273.3862, exactly 2√18685.
Is 74740 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 74740?
74740 is a happy number: repeatedly adding the squares of its digits reaches 1.