The number 72446
72446 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 37 × 89. Divisors (16): 1, 2, 11, 22, 37, 74, 89, 178, 407, 814, 979, 1958, 3293, 6586, 36223, 72446.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72446 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72446 is composite. Its prime factorisation is
- 3
The divisors add up to 123120; without 72446 itself that is 50674, so 72446 is deficient (50674 is less than 72446). Euler's totient φ(72446) = 31680 numbers up to 72446 share no factor with it.
- 4
The digits of 72446 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 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72446 = 2 \times 11 \times 37 \times 89 \]
72446 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 123120 |
| Euler totient φ(n) | 31680 |
| Square | 5248422916 |
| Cube | 380227246572536 |
| Square root | 269.157946 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 42 |
| Scientific notation | 7.2446 × |
72446 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand four hundred and forty-six |
| Binary (base 2) | 10001101011111110 |
| Octal (base 8) | 215376 |
| Hexadecimal (base 16) | 11AFE |
| Base 3 | 10200101012 |
| As time | 72446 seconds = 20 h 7 min 26 s |
Is 72446 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72446 ÷ 2 = 36223) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 3) | 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 6) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (72446 ÷ 11 = 6586) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72446 a prime number?
No. 72446 = 2 × 11 × 37 × 89, so it is divisible by 2.
What are the factors of 72446?
1, 2, 11, 22, 37, 74, 89, 178, 407, 814, 979, 1958, 3293, 6586, 36223, 72446.
What is 72446 in binary?
10001101011111110 (hexadecimal 11AFE, octal 215376).
What is the square root of 72446?
About 269.1579.
Is 72446 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 72446?
It is a composite number with 16 divisors.