The number 79672
79672 is a composite number with 16 divisors. Its prime factorisation is × 23 × 433. Divisors (16): 1, 2, 4, 8, 23, 46, 92, 184, 433, 866, 1732, 3464, 9959, 19918, 39836, 79672.
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How to work it out
- 1
What is special about 79672: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
79672 is composite. Its prime factorisation is
- 3
The divisors add up to 156240; without 79672 itself that is 76568, so 79672 is deficient (76568 is less than 79672). Euler's totient φ(79672) = 38016 numbers up to 79672 share no factor with it.
- 4
The digits of 79672 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 79672 = 2^{3} \times 23 \times 433 \]79672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 156240 |
| Euler totient φ(n) | 38016 |
| Square | 6347627584 |
| Cube | 505728184872448 |
| Square root | 282.262289 (= 2√19918) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.9672 × |
79672 in other forms
| Form | Value |
|---|---|
| In words | seventy-nine thousand six hundred and seventy-two |
| Binary (base 2) | 10011011100111000 |
| Octal (base 8) | 233470 |
| Hexadecimal (base 16) | 13738 |
| Base 3 | 11001021211 |
| As time | 79672 seconds = 22 h 7 min 52 s |
Is 79672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (79672 ÷ 2 = 39836) | 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 | Yes (79672 ÷ 4 = 19918) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 5) | 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 (79672 ÷ 8 = 9959) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 79672 a prime number?
No. 79672 = × 23 × 433, so it is divisible by 2.
What are the factors of 79672?
1, 2, 4, 8, 23, 46, 92, 184, 433, 866, 1732, 3464, 9959, 19918, 39836, 79672.
What is 79672 in binary?
10011011100111000 (hexadecimal 13738, octal 233470).
What is the square root of 79672?
About 282.2623, exactly 2√19918.
Is 79672 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 79672?
79672 is a happy number: repeatedly adding the squares of its digits reaches 1.