The number 90672
90672 is a composite number with 20 divisors. Its prime factorisation is × 3 × 1889. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1889, 3778, 5667, 7556, 11334, 15112 … 90672.
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How to work it out
- 1
What is special about 90672: a Harshad number: divisible by its digit sum 24.
- 2
90672 is composite. Its prime factorisation is
- 3
The divisors add up to 234360; without 90672 itself that is 143688, so 90672 is abundant (143688 is more than 90672). Euler's totient φ(90672) = 30208 numbers up to 90672 share no factor with it.
- 4
The digits of 90672 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 90672 = 2^{4} \times 3 \times 1889 \]90672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 234360 |
| Euler totient φ(n) | 30208 |
| Square | 8221411584 |
| Cube | 745451831144448 |
| Square root | 301.117917 (= 4√5667) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 133 |
| Scientific notation | 9.0672 × |
90672 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand six hundred and seventy-two |
| Binary (base 2) | 10110001000110000 |
| Octal (base 8) | 261060 |
| Hexadecimal (base 16) | 16230 |
| Base 3 | 11121101020 |
| As time | 90672 seconds = 25 h 11 min 12 s |
Is 90672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (90672 ÷ 2 = 45336) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (90672 ÷ 3 = 30224) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (90672 ÷ 4 = 22668) | 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 | Yes (90672 ÷ 6 = 15112) | 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 (90672 ÷ 8 = 11334) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (90672 ÷ 12 = 7556) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 90672 a prime number?
No. 90672 = × 3 × 1889, so it is divisible by 2.
What are the factors of 90672?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1889, 3778, 5667, 7556, 11334, 15112, 22668, 30224, 45336, 90672.
What is 90672 in binary?
10110001000110000 (hexadecimal 16230, octal 261060).
What is the square root of 90672?
About 301.1179, exactly 4√5667.
Is 90672 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 90672?
90672 is a Harshad number: divisible by its digit sum 24.