The number 34472
34472 is a composite number with 16 divisors. Its prime factorisation is × 31 × 139. Divisors (16): 1, 2, 4, 8, 31, 62, 124, 139, 248, 278, 556, 1112, 4309, 8618, 17236, 34472.
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How to work it out
- 1
What is special about 34472: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
34472 is composite. Its prime factorisation is
- 3
The divisors add up to 67200; without 34472 itself that is 32728, so 34472 is deficient (32728 is less than 34472). Euler's totient φ(34472) = 16560 numbers up to 34472 share no factor with it.
- 4
The digits of 34472 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34472 = 2^{3} \times 31 \times 139 \]34472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 67200 |
| Euler totient φ(n) | 16560 |
| Square | 1188318784 |
| Cube | 40963725122048 |
| Square root | 185.666367 (= 2√8618) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.4472 × |
34472 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand four hundred and seventy-two |
| Binary (base 2) | 1000011010101000 |
| Octal (base 8) | 103250 |
| Hexadecimal (base 16) | 86A8 |
| Base 3 | 1202021202 |
| As time | 34472 seconds = 9 h 34 min 32 s |
Is 34472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34472 ÷ 2 = 17236) | 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 | Yes (34472 ÷ 4 = 8618) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (34472 ÷ 8 = 4309) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34472 a prime number?
No. 34472 = × 31 × 139, so it is divisible by 2.
What are the factors of 34472?
1, 2, 4, 8, 31, 62, 124, 139, 248, 278, 556, 1112, 4309, 8618, 17236, 34472.
What is 34472 in binary?
1000011010101000 (hexadecimal 86A8, octal 103250).
What is the square root of 34472?
About 185.6664, exactly 2√8618.
Is 34472 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 34472?
34472 is a happy number: repeatedly adding the squares of its digits reaches 1.