The number 72410
72410 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 13 × 557. Divisors (16): 1, 2, 5, 10, 13, 26, 65, 130, 557, 1114, 2785, 5570, 7241, 14482, 36205, 72410.
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How to work it out
- 1
What is special about 72410: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
72410 is composite. Its prime factorisation is
- 3
The divisors add up to 140616; without 72410 itself that is 68206, so 72410 is deficient (68206 is less than 72410). Euler's totient φ(72410) = 26688 numbers up to 72410 share no factor with it.
- 4
The digits of 72410 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 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72410 = 2 \times 5 \times 13 \times 557 \]
72410 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 140616 |
| Euler totient φ(n) | 26688 |
| Square | 5243208100 |
| Cube | 379660698521000 |
| Square root | 269.091063 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.241 × |
72410 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand four hundred and ten |
| Binary (base 2) | 10001101011011010 |
| Octal (base 8) | 215332 |
| Hexadecimal (base 16) | 11ADA |
| Base 3 | 10200022212 |
| As time | 72410 seconds = 20 h 6 min 50 s |
Is 72410 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72410 ÷ 2 = 36205) | 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 (72410 ÷ 5 = 14482) | 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 2) | 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 (72410 ÷ 10 = 7241) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 72410 a prime number?
No. 72410 = 2 × 5 × 13 × 557, so it is divisible by 2.
What are the factors of 72410?
1, 2, 5, 10, 13, 26, 65, 130, 557, 1114, 2785, 5570, 7241, 14482, 36205, 72410.
What is 72410 in binary?
10001101011011010 (hexadecimal 11ADA, octal 215332).
What is the square root of 72410?
About 269.0911.
Is 72410 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 72410?
72410 is a happy number: repeatedly adding the squares of its digits reaches 1.