The number 71400
71400 is a composite number with 96 divisors. Its prime factorisation is × 3 × × 7 × 17. Divisors (96): 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 17, 20, 21, 24 … 71400.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71400: a Harshad number: divisible by its digit sum 12.
- 2
71400 is composite. Its prime factorisation is
- 3
The divisors add up to 267840; without 71400 itself that is 196440, so 71400 is abundant (196440 is more than 71400). Euler's totient φ(71400) = 15360 numbers up to 71400 share no factor with it.
- 4
The digits of 71400 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71400 = 2^{3} \times 3 \times 5^{2} \times 7 \times 17 \]71400 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 96 |
| Sum of divisors | 267840 |
| Euler totient φ(n) | 15360 |
| Square | 5097960000 |
| Cube | 363994344000000 |
| Square root | 267.207784 (= 10√714) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 99 |
| Scientific notation | 7.14 × |
71400 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand four hundred |
| Binary (base 2) | 10001011011101000 |
| Octal (base 8) | 213350 |
| Hexadecimal (base 16) | 116E8 |
| Base 3 | 10121221110 |
| As time | 71400 seconds = 19 h 50 min 0 s |
Is 71400 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71400 ÷ 2 = 35700) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (71400 ÷ 3 = 23800) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (71400 ÷ 4 = 17850) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (71400 ÷ 5 = 14280) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (71400 ÷ 6 = 11900) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (71400 ÷ 7 = 10200) | 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 (71400 ÷ 8 = 8925) | 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 | Yes (71400 ÷ 10 = 7140) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (71400 ÷ 12 = 5950) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71400 a prime number?
No. 71400 = × 3 × × 7 × 17, so it is divisible by 2.
What are the factors of 71400?
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 17, 20, 21, 24, 25, 28, 30, 34, 35, 40, 42, 50, 51, 56, 60, 68, 70, 75, 84, 85, 100, 102, 105, 119, 120, 136, 140, 150, 168, 170, 175, 200, 204, 210, 238, 255, 280, 300, 340, 350, 357, 408, 420, 425, 476, 510, 525, 595, 600, 680, 700, 714, 840, 850, 952, 1020, 1050, 1190, 1275, 1400, 1428, 1700, 1785, 2040, 2100, 2380, 2550, 2856, 2975, 3400, 3570, 4200, 4760, 5100, 5950, 7140, 8925, 10200, 11900, 14280, 17850, 23800, 35700, 71400.
What is 71400 in binary?
10001011011101000 (hexadecimal 116E8, octal 213350).
What is the square root of 71400?
About 267.2078, exactly 10√714.
Is 71400 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 71400?
71400 is a Harshad number: divisible by its digit sum 12.