The number 74210
74210 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 41 × 181. Divisors (16): 1, 2, 5, 10, 41, 82, 181, 205, 362, 410, 905, 1810, 7421, 14842, 37105, 74210.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74210: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74210 is composite. Its prime factorisation is
- 3
The divisors add up to 137592; without 74210 itself that is 63382, so 74210 is deficient (63382 is less than 74210). Euler's totient φ(74210) = 28800 numbers up to 74210 share no factor with it.
- 4
The digits of 74210 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74210 = 2 \times 5 \times 41 \times 181 \]
74210 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 137592 |
| Euler totient φ(n) | 28800 |
| Square | 5507124100 |
| Cube | 408683679461000 |
| Square root | 272.415124 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.421 × |
74210 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand two hundred and ten |
| Binary (base 2) | 10010000111100010 |
| Octal (base 8) | 220742 |
| Hexadecimal (base 16) | 121E2 |
| Base 3 | 10202210112 |
| As time | 74210 seconds = 20 h 36 min 50 s |
Is 74210 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74210 ÷ 2 = 37105) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (74210 ÷ 5 = 14842) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 2) | 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 | Yes (74210 ÷ 10 = 7421) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74210 a prime number?
No. 74210 = 2 × 5 × 41 × 181, so it is divisible by 2.
What are the factors of 74210?
1, 2, 5, 10, 41, 82, 181, 205, 362, 410, 905, 1810, 7421, 14842, 37105, 74210.
What is 74210 in binary?
10010000111100010 (hexadecimal 121E2, octal 220742).
What is the square root of 74210?
About 272.4151.
Is 74210 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 74210?
74210 is a happy number: repeatedly adding the squares of its digits reaches 1.