The number 72176
72176 is a composite number with 20 divisors. Its prime factorisation is × 13 × 347. Divisors (20): 1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 347, 694, 1388, 2776, 4511, 5552 … 72176.
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How to work it out
- 1
What is special about 72176: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
72176 is composite. Its prime factorisation is
- 3
The divisors add up to 151032; without 72176 itself that is 78856, so 72176 is abundant (78856 is more than 72176). Euler's totient φ(72176) = 33216 numbers up to 72176 share no factor with it.
- 4
The digits of 72176 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72176 = 2^{4} \times 13 \times 347 \]72176 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 151032 |
| Euler totient φ(n) | 33216 |
| Square | 5209374976 |
| Cube | 375991848267776 |
| Square root | 268.655914 (= 4√4511) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.2176 × |
72176 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand one hundred and seventy-six |
| Binary (base 2) | 10001100111110000 |
| Octal (base 8) | 214760 |
| Hexadecimal (base 16) | 119F0 |
| Base 3 | 10200000012 |
| As time | 72176 seconds = 20 h 2 min 56 s |
Is 72176 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72176 ÷ 2 = 36088) | 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 | Yes (72176 ÷ 4 = 18044) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 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 | Yes (72176 ÷ 8 = 9022) | 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 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72176 a prime number?
No. 72176 = × 13 × 347, so it is divisible by 2.
What are the factors of 72176?
1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 347, 694, 1388, 2776, 4511, 5552, 9022, 18044, 36088, 72176.
What is 72176 in binary?
10001100111110000 (hexadecimal 119F0, octal 214760).
What is the square root of 72176?
About 268.6559, exactly 4√4511.
Is 72176 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 72176?
72176 is a happy number: repeatedly adding the squares of its digits reaches 1.