The number 72610
72610 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 53 × 137. Divisors (16): 1, 2, 5, 10, 53, 106, 137, 265, 274, 530, 685, 1370, 7261, 14522, 36305, 72610.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72610 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72610 is composite. Its prime factorisation is
- 3
The divisors add up to 134136; without 72610 itself that is 61526, so 72610 is deficient (61526 is less than 72610). Euler's totient φ(72610) = 28288 numbers up to 72610 share no factor with it.
- 4
The digits of 72610 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 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72610 = 2 \times 5 \times 53 \times 137 \]
72610 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 134136 |
| Euler totient φ(n) | 28288 |
| Square | 5272212100 |
| Cube | 382815320581000 |
| Square root | 269.462428 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 68 |
| Scientific notation | 7.261 × |
72610 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand six hundred and ten |
| Binary (base 2) | 10001101110100010 |
| Octal (base 8) | 215642 |
| Hexadecimal (base 16) | 11BA2 |
| Base 3 | 10200121021 |
| As time | 72610 seconds = 20 h 10 min 10 s |
Is 72610 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72610 ÷ 2 = 36305) | 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 (72610 ÷ 5 = 14522) | 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 6) | 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 (72610 ÷ 10 = 7261) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 72610 a prime number?
No. 72610 = 2 × 5 × 53 × 137, so it is divisible by 2.
What are the factors of 72610?
1, 2, 5, 10, 53, 106, 137, 265, 274, 530, 685, 1370, 7261, 14522, 36305, 72610.
What is 72610 in binary?
10001101110100010 (hexadecimal 11BA2, octal 215642).
What is the square root of 72610?
About 269.4624.
Is 72610 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 72610?
It is a composite number with 16 divisors.