The number 22372
22372 is a composite number with 24 divisors. Its prime factorisation is × 7 × 17 × 47. Divisors (24): 1, 2, 4, 7, 14, 17, 28, 34, 47, 68, 94, 119, 188, 238, 329, 476 … 22372.
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How to work it out
- 1
What is special about 22372: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
22372 is composite. Its prime factorisation is
- 3
The divisors add up to 48384; without 22372 itself that is 26012, so 22372 is abundant (26012 is more than 22372). Euler's totient φ(22372) = 8832 numbers up to 22372 share no factor with it.
- 4
The digits of 22372 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 69 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22372 = 2^{2} \times 7 \times 17 \times 47 \]22372 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 48384 |
| Euler totient φ(n) | 8832 |
| Square | 500506384 |
| Cube | 11197328822848 |
| Square root | 149.572725 (= 2√5593) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 69 |
| Scientific notation | 2.2372 × |
22372 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand three hundred and seventy-two |
| Binary (base 2) | 101011101100100 |
| Octal (base 8) | 53544 |
| Hexadecimal (base 16) | 5764 |
| Base 3 | 1010200121 |
| As time | 22372 seconds = 6 h 12 min 52 s |
Is 22372 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (22372 ÷ 2 = 11186) | 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 (22372 ÷ 4 = 5593) | 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 | Yes (22372 ÷ 7 = 3196) | 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 7) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22372 a prime number?
No. 22372 = × 7 × 17 × 47, so it is divisible by 2.
What are the factors of 22372?
1, 2, 4, 7, 14, 17, 28, 34, 47, 68, 94, 119, 188, 238, 329, 476, 658, 799, 1316, 1598, 3196, 5593, 11186, 22372.
What is 22372 in binary?
101011101100100 (hexadecimal 5764, octal 53544).
What is the square root of 22372?
About 149.5727, exactly 2√5593.
Is 22372 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 22372?
22372 is a happy number: repeatedly adding the squares of its digits reaches 1.