The number 40467
40467 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 41 × 47. Divisors (16): 1, 3, 7, 21, 41, 47, 123, 141, 287, 329, 861, 987, 1927, 5781, 13489, 40467.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40467: a Harshad number: divisible by its digit sum 21.
- 2
40467 is composite. Its prime factorisation is
- 3
The divisors add up to 64512; without 40467 itself that is 24045, so 40467 is deficient (24045 is less than 40467). Euler's totient φ(40467) = 22080 numbers up to 40467 share no factor with it.
- 4
The digits of 40467 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 212 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40467 = 3 \times 7 \times 41 \times 47 \]
40467 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 64512 |
| Euler totient φ(n) | 22080 |
| Square | 1637578089 |
| Cube | 66267872527563 |
| Square root | 201.164112 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 212 |
| Scientific notation | 4.0467 × |
40467 in other forms
| Form | Value |
|---|---|
| In words | forty thousand four hundred and sixty-seven |
| Binary (base 2) | 1001111000010011 |
| Octal (base 8) | 117023 |
| Hexadecimal (base 16) | 9E13 |
| Base 3 | 2001111210 |
| As time | 40467 seconds = 11 h 14 min 27 s |
Is 40467 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40467 ÷ 3 = 13489) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (40467 ÷ 7 = 5781) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40467 a prime number?
No. 40467 = 3 × 7 × 41 × 47, so it is divisible by 3.
What are the factors of 40467?
1, 3, 7, 21, 41, 47, 123, 141, 287, 329, 861, 987, 1927, 5781, 13489, 40467.
What is 40467 in binary?
1001111000010011 (hexadecimal 9E13, octal 117023).
What is the square root of 40467?
About 201.1641.
Is 40467 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 40467?
40467 is a Harshad number: divisible by its digit sum 21.