The number 1472
1472 is a composite number with 14 divisors. Its prime factorisation is × 23. Divisors (14): 1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 184, 368, 736, 1472.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1472: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
1472 is composite. Its prime factorisation is
- 3
The divisors add up to 3048; without 1472 itself that is 1576, so 1472 is abundant (1576 is more than 1472). Euler's totient φ(1472) = 704 numbers up to 1472 share no factor with it.
- 4
The digits of 1472 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 21 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1472 = 2^{6} \times 23 \]1472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 3048 |
| Euler totient φ(n) | 704 |
| Square | 2166784 |
| Cube | 3189506048 |
| Square root | 38.366652 (= 8√23) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 21 |
| Scientific notation | 1.472 × |
1472 in other forms
| Form | Value |
|---|---|
| In words | one thousand four hundred and seventy-two |
| Roman numerals | MCDLXXII |
| Binary (base 2) | 10111000000 |
| Octal (base 8) | 2700 |
| Hexadecimal (base 16) | 5C0 |
| Base 3 | 2000112 |
| As time | 1472 seconds = 24 min 32 s |
Is 1472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1472 ÷ 2 = 736) | 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 (1472 ÷ 4 = 368) | 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 2) | 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 (1472 ÷ 8 = 184) | 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 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 1472 a prime number?
No. 1472 = × 23, so it is divisible by 2.
What are the factors of 1472?
1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 184, 368, 736, 1472.
What is 1472 in binary?
10111000000 (hexadecimal 5C0, octal 2700).
What is the square root of 1472?
About 38.3667, exactly 8√23.
What is 1472 in Roman numerals?
MCDLXXII.
Is 1472 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 1472?
1472 is a happy number: repeatedly adding the squares of its digits reaches 1.