The number 35472
35472 is a composite number with 20 divisors. Its prime factorisation is × 3 × 739. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 739, 1478, 2217, 2956, 4434, 5912 … 35472.
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How to work it out
- 1
What is special about 35472: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
35472 is composite. Its prime factorisation is
- 3
The divisors add up to 91760; without 35472 itself that is 56288, so 35472 is abundant (56288 is more than 35472). Euler's totient φ(35472) = 11808 numbers up to 35472 share no factor with it.
- 4
The digits of 35472 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 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35472 = 2^{4} \times 3 \times 739 \]35472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 91760 |
| Euler totient φ(n) | 11808 |
| Square | 1258262784 |
| Cube | 44633097474048 |
| Square root | 188.340118 (= 4√2217) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.5472 × |
35472 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand four hundred and seventy-two |
| Binary (base 2) | 1000101010010000 |
| Octal (base 8) | 105220 |
| Hexadecimal (base 16) | 8A90 |
| Base 3 | 1210122210 |
| As time | 35472 seconds = 9 h 51 min 12 s |
Is 35472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35472 ÷ 2 = 17736) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (35472 ÷ 3 = 11824) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (35472 ÷ 4 = 8868) | 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 (35472 ÷ 6 = 5912) | 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 | Yes (35472 ÷ 8 = 4434) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (35472 ÷ 12 = 2956) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35472 a prime number?
No. 35472 = × 3 × 739, so it is divisible by 2.
What are the factors of 35472?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 739, 1478, 2217, 2956, 4434, 5912, 8868, 11824, 17736, 35472.
What is 35472 in binary?
1000101010010000 (hexadecimal 8A90, octal 105220).
What is the square root of 35472?
About 188.3401, exactly 4√2217.
Is 35472 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 35472?
35472 is a happy number: repeatedly adding the squares of its digits reaches 1.