The number 74410
74410 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 7 × 1063. Divisors (16): 1, 2, 5, 7, 10, 14, 35, 70, 1063, 2126, 5315, 7441, 10630, 14882, 37205, 74410.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74410: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74410 is composite. Its prime factorisation is
- 3
The divisors add up to 153216; without 74410 itself that is 78806, so 74410 is abundant (78806 is more than 74410). Euler's totient φ(74410) = 25488 numbers up to 74410 share no factor with it.
- 4
The digits of 74410 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 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74410 = 2 \times 5 \times 7 \times 1063 \]
74410 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 153216 |
| Euler totient φ(n) | 25488 |
| Square | 5536848100 |
| Cube | 411996867121000 |
| Square root | 272.781964 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.441 × |
74410 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand four hundred and ten |
| Binary (base 2) | 10010001010101010 |
| Octal (base 8) | 221252 |
| Hexadecimal (base 16) | 122AA |
| Base 3 | 10210001221 |
| As time | 74410 seconds = 20 h 40 min 10 s |
Is 74410 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74410 ÷ 2 = 37205) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (74410 ÷ 5 = 14882) | 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 | Yes (74410 ÷ 7 = 10630) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (74410 ÷ 10 = 7441) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74410 a prime number?
No. 74410 = 2 × 5 × 7 × 1063, so it is divisible by 2.
What are the factors of 74410?
1, 2, 5, 7, 10, 14, 35, 70, 1063, 2126, 5315, 7441, 10630, 14882, 37205, 74410.
What is 74410 in binary?
10010001010101010 (hexadecimal 122AA, octal 221252).
What is the square root of 74410?
About 272.7820.
Is 74410 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 74410?
74410 is a happy number: repeatedly adding the squares of its digits reaches 1.