The number 33372
33372 is a composite number with 30 divisors. Its prime factorisation is × × 103. Divisors (30): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 103, 108, 162, 206 … 33372.
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How to work it out
- 1
What is special about 33372: a Harshad number: divisible by its digit sum 18.
- 2
33372 is composite. Its prime factorisation is
- 3
The divisors add up to 88088; without 33372 itself that is 54716, so 33372 is abundant (54716 is more than 33372). Euler's totient φ(33372) = 11016 numbers up to 33372 share no factor with it.
- 4
The digits of 33372 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33372 = 2^{2} \times 3^{4} \times 103 \]33372 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 88088 |
| Euler totient φ(n) | 11016 |
| Square | 1113690384 |
| Cube | 37166075494848 |
| Square root | 182.680048 (= 18√103) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.3372 × |
33372 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and seventy-two |
| Binary (base 2) | 1000001001011100 |
| Octal (base 8) | 101134 |
| Hexadecimal (base 16) | 825C |
| Base 3 | 1200210000 |
| As time | 33372 seconds = 9 h 16 min 12 s |
Is 33372 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33372 ÷ 2 = 16686) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33372 ÷ 3 = 11124) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33372 ÷ 4 = 8343) | 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 (33372 ÷ 6 = 5562) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (33372 ÷ 9 = 3708) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (33372 ÷ 12 = 2781) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33372 a prime number?
No. 33372 = × × 103, so it is divisible by 2.
What are the factors of 33372?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 103, 108, 162, 206, 309, 324, 412, 618, 927, 1236, 1854, 2781, 3708, 5562, 8343, 11124, 16686, 33372.
What is 33372 in binary?
1000001001011100 (hexadecimal 825C, octal 101134).
What is the square root of 33372?
About 182.6800, exactly 18√103.
Is 33372 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 33372?
33372 is a Harshad number: divisible by its digit sum 18.