The number 76472
76472 is a composite number with 24 divisors. Its prime factorisation is × × 79. Divisors (24): 1, 2, 4, 8, 11, 22, 44, 79, 88, 121, 158, 242, 316, 484, 632, 869 … 76472.
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How to work it out
- 1
76472 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76472 is composite. Its prime factorisation is
- 3
The divisors add up to 159600; without 76472 itself that is 83128, so 76472 is abundant (83128 is more than 76472). Euler's totient φ(76472) = 34320 numbers up to 76472 share no factor with it.
- 4
The digits of 76472 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76472 = 2^{3} \times 11^{2} \times 79 \]76472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 159600 |
| Euler totient φ(n) | 34320 |
| Square | 5847966784 |
| Cube | 447205715906048 |
| Square root | 276.535712 (= 22√158) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.6472 × |
76472 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand four hundred and seventy-two |
| Binary (base 2) | 10010101010111000 |
| Octal (base 8) | 225270 |
| Hexadecimal (base 16) | 12AB8 |
| Base 3 | 10212220022 |
| As time | 76472 seconds = 21 h 14 min 32 s |
Is 76472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76472 ÷ 2 = 38236) | 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 (76472 ÷ 4 = 19118) | 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 4) | 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 (76472 ÷ 8 = 9559) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | Yes (76472 ÷ 11 = 6952) | 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 76472 a prime number?
No. 76472 = × × 79, so it is divisible by 2.
What are the factors of 76472?
1, 2, 4, 8, 11, 22, 44, 79, 88, 121, 158, 242, 316, 484, 632, 869, 968, 1738, 3476, 6952, 9559, 19118, 38236, 76472.
What is 76472 in binary?
10010101010111000 (hexadecimal 12AB8, octal 225270).
What is the square root of 76472?
About 276.5357, exactly 22√158.
Is 76472 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 76472?
It is a composite number with 24 divisors.