The number 40100
40100 is a composite number with 18 divisors. Its prime factorisation is × × 401. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 100, 401, 802, 1604, 2005, 4010, 8020, 10025 … 40100.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40100: a Harshad number: divisible by its digit sum 5.
- 2
40100 is composite. Its prime factorisation is
- 3
The divisors add up to 87234; without 40100 itself that is 47134, so 40100 is abundant (47134 is more than 40100). Euler's totient φ(40100) = 16000 numbers up to 40100 share no factor with it.
- 4
The digits of 40100 add up to 5, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40100 = 2^{2} \times 5^{2} \times 401 \]40100 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 87234 |
| Euler totient φ(n) | 16000 |
| Square | 1608010000 |
| Cube | 64481201000000 |
| Square root | 200.249844 (= 10√401) |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 93 |
| Scientific notation | 4.01 × |
40100 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred |
| Binary (base 2) | 1001110010100100 |
| Octal (base 8) | 116244 |
| Hexadecimal (base 16) | 9CA4 |
| Base 3 | 2001000012 |
| As time | 40100 seconds = 11 h 8 min 20 s |
Is 40100 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40100 ÷ 2 = 20050) | 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 (40100 ÷ 4 = 10025) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (40100 ÷ 5 = 8020) | 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 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 | 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 (40100 ÷ 10 = 4010) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 40100 a prime number?
No. 40100 = × × 401, so it is divisible by 2.
What are the factors of 40100?
1, 2, 4, 5, 10, 20, 25, 50, 100, 401, 802, 1604, 2005, 4010, 8020, 10025, 20050, 40100.
What is 40100 in binary?
1001110010100100 (hexadecimal 9CA4, octal 116244).
What is the square root of 40100?
About 200.2498, exactly 10√401.
Is 40100 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 40100?
40100 is a Harshad number: divisible by its digit sum 5.