The number 71448
71448 is a composite number with 32 divisors. Its prime factorisation is × 3 × 13 × 229. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 229 … 71448.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71448: a Harshad number: divisible by its digit sum 24.
- 2
71448 is composite. Its prime factorisation is
- 3
The divisors add up to 193200; without 71448 itself that is 121752, so 71448 is abundant (121752 is more than 71448). Euler's totient φ(71448) = 21888 numbers up to 71448 share no factor with it.
- 4
The digits of 71448 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71448 = 2^{3} \times 3 \times 13 \times 229 \]71448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 193200 |
| Euler totient φ(n) | 21888 |
| Square | 5104816704 |
| Cube | 364728943867392 |
| Square root | 267.297587 (= 2√17862) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.1448 × |
71448 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand four hundred and forty-eight |
| Binary (base 2) | 10001011100011000 |
| Octal (base 8) | 213430 |
| Hexadecimal (base 16) | 11718 |
| Base 3 | 10122000020 |
| As time | 71448 seconds = 19 h 50 min 48 s |
Is 71448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71448 ÷ 2 = 35724) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (71448 ÷ 3 = 23816) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (71448 ÷ 4 = 17862) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (71448 ÷ 6 = 11908) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (71448 ÷ 8 = 8931) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (71448 ÷ 12 = 5954) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71448 a prime number?
No. 71448 = × 3 × 13 × 229, so it is divisible by 2.
What are the factors of 71448?
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 229, 312, 458, 687, 916, 1374, 1832, 2748, 2977, 5496, 5954, 8931, 11908, 17862, 23816, 35724, 71448.
What is 71448 in binary?
10001011100011000 (hexadecimal 11718, octal 213430).
What is the square root of 71448?
About 267.2976, exactly 2√17862.
Is 71448 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 71448?
71448 is a Harshad number: divisible by its digit sum 24.