The number 74140
74140 is a composite number with 24 divisors. Its prime factorisation is × 5 × 11 × 337. Divisors (24): 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 337, 674, 1348, 1685 … 74140.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74140: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74140 is composite. Its prime factorisation is
- 3
The divisors add up to 170352; without 74140 itself that is 96212, so 74140 is abundant (96212 is more than 74140). Euler's totient φ(74140) = 26880 numbers up to 74140 share no factor with it.
- 4
The digits of 74140 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74140 = 2^{2} \times 5 \times 11 \times 337 \]74140 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 170352 |
| Euler totient φ(n) | 26880 |
| Square | 5496739600 |
| Cube | 407528273944000 |
| Square root | 272.286614 (= 2√18535) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.414 × |
74140 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand one hundred and forty |
| Binary (base 2) | 10010000110011100 |
| Octal (base 8) | 220634 |
| Hexadecimal (base 16) | 1219C |
| Base 3 | 10202200221 |
| As time | 74140 seconds = 20 h 35 min 40 s |
Is 74140 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74140 ÷ 2 = 37070) | 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 (74140 ÷ 4 = 18535) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (74140 ÷ 5 = 14828) | 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 3) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (74140 ÷ 10 = 7414) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (74140 ÷ 11 = 6740) | 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 74140 a prime number?
No. 74140 = × 5 × 11 × 337, so it is divisible by 2.
What are the factors of 74140?
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 337, 674, 1348, 1685, 3370, 3707, 6740, 7414, 14828, 18535, 37070, 74140.
What is 74140 in binary?
10010000110011100 (hexadecimal 1219C, octal 220634).
What is the square root of 74140?
About 272.2866, exactly 2√18535.
Is 74140 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 74140?
74140 is a happy number: repeatedly adding the squares of its digits reaches 1.