The number 41400
41400 is a composite number with 72 divisors. Its prime factorisation is × × × 23. Divisors (72): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 23, 24, 25 … 41400.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41400: a Harshad number: divisible by its digit sum 9.
- 2
41400 is composite. Its prime factorisation is
- 3
The divisors add up to 145080; without 41400 itself that is 103680, so 41400 is abundant (103680 is more than 41400). Euler's totient φ(41400) = 10560 numbers up to 41400 share no factor with it.
- 4
The digits of 41400 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41400 = 2^{3} \times 3^{2} \times 5^{2} \times 23 \]41400 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 72 |
| Sum of divisors | 145080 |
| Euler totient φ(n) | 10560 |
| Square | 1713960000 |
| Cube | 70957944000000 |
| Square root | 203.469899 (= 30√46) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.14 × |
41400 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand four hundred |
| Binary (base 2) | 1010000110111000 |
| Octal (base 8) | 120670 |
| Hexadecimal (base 16) | A1B8 |
| Base 3 | 2002210100 |
| As time | 41400 seconds = 11 h 30 min 0 s |
Is 41400 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41400 ÷ 2 = 20700) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (41400 ÷ 3 = 13800) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (41400 ÷ 4 = 10350) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (41400 ÷ 5 = 8280) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (41400 ÷ 6 = 6900) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (41400 ÷ 8 = 5175) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (41400 ÷ 9 = 4600) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (41400 ÷ 10 = 4140) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (41400 ÷ 12 = 3450) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41400 a prime number?
No. 41400 = × × × 23, so it is divisible by 2.
What are the factors of 41400?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 23, 24, 25, 30, 36, 40, 45, 46, 50, 60, 69, 72, 75, 90, 92, 100, 115, 120, 138, 150, 180, 184, 200, 207, 225, 230, 276, 300, 345, 360, 414, 450, 460, 552, 575, 600, 690, 828, 900, 920, 1035, 1150, 1380, 1656, 1725, 1800, 2070, 2300, 2760, 3450, 4140, 4600, 5175, 6900, 8280, 10350, 13800, 20700, 41400.
What is 41400 in binary?
1010000110111000 (hexadecimal A1B8, octal 120670).
What is the square root of 41400?
About 203.4699, exactly 30√46.
Is 41400 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 41400?
41400 is a Harshad number: divisible by its digit sum 9.