The number 10672
10672 is a composite number with 20 divisors. Its prime factorisation is × 23 × 29. Divisors (20): 1, 2, 4, 8, 16, 23, 29, 46, 58, 92, 116, 184, 232, 368, 464, 667 … 10672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10672: a Harshad number: divisible by its digit sum 16.
- 2
10672 is composite. Its prime factorisation is
- 3
The divisors add up to 22320; without 10672 itself that is 11648, so 10672 is abundant (11648 is more than 10672). Euler's totient φ(10672) = 4928 numbers up to 10672 share no factor with it.
- 4
The digits of 10672 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 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10672 = 2^{4} \times 23 \times 29 \]10672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 22320 |
| Euler totient φ(n) | 4928 |
| Square | 113891584 |
| Cube | 1215450984448 |
| Square root | 103.305373 (= 4√667) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 148 |
| Scientific notation | 1.0672 × |
10672 in other forms
| Form | Value |
|---|---|
| In words | ten thousand six hundred and seventy-two |
| Binary (base 2) | 10100110110000 |
| Octal (base 8) | 24660 |
| Hexadecimal (base 16) | 29B0 |
| Base 3 | 112122021 |
| As time | 10672 seconds = 2 h 57 min 52 s |
Is 10672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10672 ÷ 2 = 5336) | 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 (10672 ÷ 4 = 2668) | 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 4) | 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 (10672 ÷ 8 = 1334) | 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 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 10672 a prime number?
No. 10672 = × 23 × 29, so it is divisible by 2.
What are the factors of 10672?
1, 2, 4, 8, 16, 23, 29, 46, 58, 92, 116, 184, 232, 368, 464, 667, 1334, 2668, 5336, 10672.
What is 10672 in binary?
10100110110000 (hexadecimal 29B0, octal 24660).
What is the square root of 10672?
About 103.3054, exactly 4√667.
Is 10672 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 10672?
10672 is a Harshad number: divisible by its digit sum 16.