The number 71955
71955 is a composite number with 32 divisors. Its prime factorisation is × 5 × 13 × 41. Divisors (32): 1, 3, 5, 9, 13, 15, 27, 39, 41, 45, 65, 117, 123, 135, 195, 205 … 71955.
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How to work it out
- 1
What is special about 71955: a Harshad number: divisible by its digit sum 27.
- 2
71955 is composite. Its prime factorisation is
- 3
The divisors add up to 141120; without 71955 itself that is 69165, so 71955 is deficient (69165 is less than 71955). Euler's totient φ(71955) = 34560 numbers up to 71955 share no factor with it.
- 4
The digits of 71955 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71955 = 3^{3} \times 5 \times 13 \times 41 \]71955 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 141120 |
| Euler totient φ(n) | 34560 |
| Square | 5177522025 |
| Cube | 372548597308875 |
| Square root | 268.244292 (= 3√7995) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.1955 × |
71955 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand nine hundred and fifty-five |
| Binary (base 2) | 10001100100010011 |
| Octal (base 8) | 214423 |
| Hexadecimal (base 16) | 11913 |
| Base 3 | 10122201000 |
| As time | 71955 seconds = 19 h 59 min 15 s |
Is 71955 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 (71955 ÷ 3 = 23985) | 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 | Yes (71955 ÷ 5 = 14391) | 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 | 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 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (71955 ÷ 9 = 7995) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 71955 a prime number?
No. 71955 = × 5 × 13 × 41, so it is divisible by 3.
What are the factors of 71955?
1, 3, 5, 9, 13, 15, 27, 39, 41, 45, 65, 117, 123, 135, 195, 205, 351, 369, 533, 585, 615, 1107, 1599, 1755, 1845, 2665, 4797, 5535, 7995, 14391, 23985, 71955.
What is 71955 in binary?
10001100100010011 (hexadecimal 11913, octal 214423).
What is the square root of 71955?
About 268.2443, exactly 3√7995.
Is 71955 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 71955?
71955 is a Harshad number: divisible by its digit sum 27.