The number 4172
4172 is a composite number with 12 divisors. Its prime factorisation is × 7 × 149. Divisors (12): 1, 2, 4, 7, 14, 28, 149, 298, 596, 1043, 2086, 4172.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4172: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 14.
- 2
4172 is composite. Its prime factorisation is
- 3
The divisors add up to 8400; without 4172 itself that is 4228, so 4172 is abundant (4228 is more than 4172). Euler's totient φ(4172) = 1776 numbers up to 4172 share no factor with it.
- 4
The digits of 4172 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4172 = 2^{2} \times 7 \times 149 \]4172 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 8400 |
| Euler totient φ(n) | 1776 |
| Square | 17405584 |
| Cube | 72616096448 |
| Square root | 64.591021 (= 2√1043) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 126 |
| Scientific notation | 4.172 × |
4172 in other forms
| Form | Value |
|---|---|
| In words | four thousand one hundred and seventy-two |
| Binary (base 2) | 1000001001100 |
| Octal (base 8) | 10114 |
| Hexadecimal (base 16) | 104C |
| Base 3 | 12201112 |
| As time | 4172 seconds = 1 h 9 min 32 s |
Is 4172 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4172 ÷ 2 = 2086) | 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 (4172 ÷ 4 = 1043) | 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 | Yes (4172 ÷ 7 = 596) | 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 5) | 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 3) | 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 4172 a prime number?
No. 4172 = × 7 × 149, so it is divisible by 2.
What are the factors of 4172?
1, 2, 4, 7, 14, 28, 149, 298, 596, 1043, 2086, 4172.
What is 4172 in binary?
1000001001100 (hexadecimal 104C, octal 10114).
What is the square root of 4172?
About 64.5910, exactly 2√1043.
Is 4172 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 4172?
4172 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 14.