The number 71672
71672 is a composite number with 24 divisors. Its prime factorisation is × × 31. Divisors (24): 1, 2, 4, 8, 17, 31, 34, 62, 68, 124, 136, 248, 289, 527, 578, 1054 … 71672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71672: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
71672 is composite. Its prime factorisation is
- 3
The divisors add up to 147360; without 71672 itself that is 75688, so 71672 is abundant (75688 is more than 71672). Euler's totient φ(71672) = 32640 numbers up to 71672 share no factor with it.
- 4
The digits of 71672 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 249 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71672 = 2^{3} \times 17^{2} \times 31 \]71672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 147360 |
| Euler totient φ(n) | 32640 |
| Square | 5136875584 |
| Cube | 368170146856448 |
| Square root | 267.716268 (= 34√62) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 249 |
| Scientific notation | 7.1672 × |
71672 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand six hundred and seventy-two |
| Binary (base 2) | 10001011111111000 |
| Octal (base 8) | 213770 |
| Hexadecimal (base 16) | 117F8 |
| Base 3 | 10122022112 |
| As time | 71672 seconds = 19 h 54 min 32 s |
Is 71672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71672 ÷ 2 = 35836) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (71672 ÷ 4 = 17918) | 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 2) | 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 (71672 ÷ 8 = 8959) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71672 a prime number?
No. 71672 = × × 31, so it is divisible by 2.
What are the factors of 71672?
1, 2, 4, 8, 17, 31, 34, 62, 68, 124, 136, 248, 289, 527, 578, 1054, 1156, 2108, 2312, 4216, 8959, 17918, 35836, 71672.
What is 71672 in binary?
10001011111111000 (hexadecimal 117F8, octal 213770).
What is the square root of 71672?
About 267.7163, exactly 34√62.
Is 71672 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 71672?
71672 is a happy number: repeatedly adding the squares of its digits reaches 1.