The number 80472
80472 is a composite number with 32 divisors. Its prime factorisation is × 3 × 7 × 479. Divisors (32): 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168 … 80472.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80472: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.
- 2
80472 is composite. Its prime factorisation is
- 3
The divisors add up to 230400; without 80472 itself that is 149928, so 80472 is abundant (149928 is more than 80472). Euler's totient φ(80472) = 22944 numbers up to 80472 share no factor with it.
- 4
The digits of 80472 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80472 = 2^{3} \times 3 \times 7 \times 479 \]80472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 230400 |
| Euler totient φ(n) | 22944 |
| Square | 6475742784 |
| Cube | 521115973314048 |
| Square root | 283.675871 (= 2√20118) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 138 |
| Scientific notation | 8.0472 × |
80472 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand four hundred and seventy-two |
| Binary (base 2) | 10011101001011000 |
| Octal (base 8) | 235130 |
| Hexadecimal (base 16) | 13A58 |
| Base 3 | 11002101110 |
| As time | 80472 seconds = 22 h 21 min 12 s |
Is 80472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80472 ÷ 2 = 40236) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80472 ÷ 3 = 26824) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80472 ÷ 4 = 20118) | 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 | Yes (80472 ÷ 6 = 13412) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (80472 ÷ 7 = 11496) | 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 (80472 ÷ 8 = 10059) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | Yes (80472 ÷ 12 = 6706) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80472 a prime number?
No. 80472 = × 3 × 7 × 479, so it is divisible by 2.
What are the factors of 80472?
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 479, 958, 1437, 1916, 2874, 3353, 3832, 5748, 6706, 10059, 11496, 13412, 20118, 26824, 40236, 80472.
What is 80472 in binary?
10011101001011000 (hexadecimal 13A58, octal 235130).
What is the square root of 80472?
About 283.6759, exactly 2√20118.
Is 80472 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 80472?
80472 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.