The number 76172
76172 is a composite number with 12 divisors. Its prime factorisation is × 137 × 139. Divisors (12): 1, 2, 4, 137, 139, 274, 278, 548, 556, 19043, 38086, 76172.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 76172: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
76172 is composite. Its prime factorisation is
- 3
The divisors add up to 135240; without 76172 itself that is 59068, so 76172 is deficient (59068 is less than 76172). Euler's totient φ(76172) = 37536 numbers up to 76172 share no factor with it.
- 4
The digits of 76172 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 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76172 = 2^{2} \times 137 \times 139 \]76172 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 135240 |
| Euler totient φ(n) | 37536 |
| Square | 5802173584 |
| Cube | 441963166240448 |
| Square root | 275.992754 (= 2√19043) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.6172 × |
76172 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand one hundred and seventy-two |
| Binary (base 2) | 10010100110001100 |
| Octal (base 8) | 224614 |
| Hexadecimal (base 16) | 1298C |
| Base 3 | 10212111012 |
| As time | 76172 seconds = 21 h 9 min 32 s |
Is 76172 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76172 ÷ 2 = 38086) | 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 (76172 ÷ 4 = 19043) | 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 5) | 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 4) | 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 8) | 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 76172 a prime number?
No. 76172 = × 137 × 139, so it is divisible by 2.
What are the factors of 76172?
1, 2, 4, 137, 139, 274, 278, 548, 556, 19043, 38086, 76172.
What is 76172 in binary?
10010100110001100 (hexadecimal 1298C, octal 224614).
What is the square root of 76172?
About 275.9928, exactly 2√19043.
Is 76172 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 76172?
76172 is a happy number: repeatedly adding the squares of its digits reaches 1.