The number 73372
73372 is a composite number with 24 divisors. Its prime factorisation is × 13 × 17 × 83. Divisors (24): 1, 2, 4, 13, 17, 26, 34, 52, 68, 83, 166, 221, 332, 442, 884, 1079 … 73372.
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How to work it out
- 1
73372 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73372 is composite. Its prime factorisation is
- 3
The divisors add up to 148176; without 73372 itself that is 74804, so 73372 is abundant (74804 is more than 73372). Euler's totient φ(73372) = 31488 numbers up to 73372 share no factor with it.
- 4
The digits of 73372 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73372 = 2^{2} \times 13 \times 17 \times 83 \]73372 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 148176 |
| Euler totient φ(n) | 31488 |
| Square | 5383450384 |
| Cube | 394994521574848 |
| Square root | 270.872664 (= 2√18343) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.3372 × |
73372 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand three hundred and seventy-two |
| Binary (base 2) | 10001111010011100 |
| Octal (base 8) | 217234 |
| Hexadecimal (base 16) | 11E9C |
| Base 3 | 10201122111 |
| As time | 73372 seconds = 20 h 22 min 52 s |
Is 73372 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73372 ÷ 2 = 36686) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (73372 ÷ 4 = 18343) | 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 4) | 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 4) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73372 a prime number?
No. 73372 = × 13 × 17 × 83, so it is divisible by 2.
What are the factors of 73372?
1, 2, 4, 13, 17, 26, 34, 52, 68, 83, 166, 221, 332, 442, 884, 1079, 1411, 2158, 2822, 4316, 5644, 18343, 36686, 73372.
What is 73372 in binary?
10001111010011100 (hexadecimal 11E9C, octal 217234).
What is the square root of 73372?
About 270.8727, exactly 2√18343.
Is 73372 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 73372?
It is a composite number with 24 divisors.