The number 3472
3472 is a composite number with 20 divisors. Its prime factorisation is × 7 × 31. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 31, 56, 62, 112, 124, 217, 248, 434 … 3472.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3472: a Harshad number: divisible by its digit sum 16.
- 2
3472 is composite. Its prime factorisation is
- 3
The divisors add up to 7936; without 3472 itself that is 4464, so 3472 is abundant (4464 is more than 3472). Euler's totient φ(3472) = 1440 numbers up to 3472 share no factor with it.
- 4
The digits of 3472 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 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3472 = 2^{4} \times 7 \times 31 \]3472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 7936 |
| Euler totient φ(n) | 1440 |
| Square | 12054784 |
| Cube | 41854210048 |
| Square root | 58.923679 (= 4√217) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 30 |
| Scientific notation | 3.472 × |
3472 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and seventy-two |
| Roman numerals | MMMCDLXXII |
| Binary (base 2) | 110110010000 |
| Octal (base 8) | 6620 |
| Hexadecimal (base 16) | D90 |
| Base 3 | 11202121 |
| As time | 3472 seconds = 57 min 52 s |
Is 3472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3472 ÷ 2 = 1736) | 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 (3472 ÷ 4 = 868) | 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 (3472 ÷ 7 = 496) | 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 (3472 ÷ 8 = 434) | 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 7) | 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 3472 a prime number?
No. 3472 = × 7 × 31, so it is divisible by 2.
What are the factors of 3472?
1, 2, 4, 7, 8, 14, 16, 28, 31, 56, 62, 112, 124, 217, 248, 434, 496, 868, 1736, 3472.
What is 3472 in binary?
110110010000 (hexadecimal D90, octal 6620).
What is the square root of 3472?
About 58.9237, exactly 4√217.
What is 3472 in Roman numerals?
MMMCDLXXII.
Is 3472 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 3472?
3472 is a Harshad number: divisible by its digit sum 16.