The number 67100
67100 is a composite number with 36 divisors. Its prime factorisation is × × 11 × 61. Divisors (36): 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 61, 100, 110, 122 … 67100.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67100: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67100 is composite. Its prime factorisation is
- 3
The divisors add up to 161448; without 67100 itself that is 94348, so 67100 is abundant (94348 is more than 67100). Euler's totient φ(67100) = 24000 numbers up to 67100 share no factor with it.
- 4
The digits of 67100 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67100 = 2^{2} \times 5^{2} \times 11 \times 61 \]67100 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 161448 |
| Euler totient φ(n) | 24000 |
| Square | 4502410000 |
| Cube | 302111711000000 |
| Square root | 259.036677 (= 10√671) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.71 × |
67100 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand one hundred |
| Binary (base 2) | 10000011000011100 |
| Octal (base 8) | 203034 |
| Hexadecimal (base 16) | 1061C |
| Base 3 | 10102001012 |
| As time | 67100 seconds = 18 h 38 min 20 s |
Is 67100 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67100 ÷ 2 = 33550) | 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 (67100 ÷ 4 = 16775) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67100 ÷ 5 = 13420) | 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 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 | No (remainder 4) | 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 | Yes (67100 ÷ 10 = 6710) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (67100 ÷ 11 = 6100) | 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 67100 a prime number?
No. 67100 = × × 11 × 61, so it is divisible by 2.
What are the factors of 67100?
1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 61, 100, 110, 122, 220, 244, 275, 305, 550, 610, 671, 1100, 1220, 1342, 1525, 2684, 3050, 3355, 6100, 6710, 13420, 16775, 33550, 67100.
What is 67100 in binary?
10000011000011100 (hexadecimal 1061C, octal 203034).
What is the square root of 67100?
About 259.0367, exactly 10√671.
Is 67100 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 67100?
67100 is a happy number: repeatedly adding the squares of its digits reaches 1.