The number 97672
97672 is a composite number with 16 divisors. Its prime factorisation is × 29 × 421. Divisors (16): 1, 2, 4, 8, 29, 58, 116, 232, 421, 842, 1684, 3368, 12209, 24418, 48836, 97672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97672: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
97672 is composite. Its prime factorisation is
- 3
The divisors add up to 189900; without 97672 itself that is 92228, so 97672 is deficient (92228 is less than 97672). Euler's totient φ(97672) = 47040 numbers up to 97672 share no factor with it.
- 4
The digits of 97672 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 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97672 = 2^{3} \times 29 \times 421 \]97672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 189900 |
| Euler totient φ(n) | 47040 |
| Square | 9539819584 |
| Cube | 931773258408448 |
| Square root | 312.525199 (= 2√24418) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 115 |
| Scientific notation | 9.7672 × |
97672 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand six hundred and seventy-two |
| Binary (base 2) | 10111110110001000 |
| Octal (base 8) | 276610 |
| Hexadecimal (base 16) | 17D88 |
| Base 3 | 11221222111 |
| As time | 97672 seconds = 27 h 7 min 52 s |
Is 97672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97672 ÷ 2 = 48836) | 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 (97672 ÷ 4 = 24418) | 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 1) | 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 (97672 ÷ 8 = 12209) | 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 3) | 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 97672 a prime number?
No. 97672 = × 29 × 421, so it is divisible by 2.
What are the factors of 97672?
1, 2, 4, 8, 29, 58, 116, 232, 421, 842, 1684, 3368, 12209, 24418, 48836, 97672.
What is 97672 in binary?
10111110110001000 (hexadecimal 17D88, octal 276610).
What is the square root of 97672?
About 312.5252, exactly 2√24418.
Is 97672 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 97672?
97672 is a happy number: repeatedly adding the squares of its digits reaches 1.