The number 56472
56472 is a composite number with 32 divisors. Its prime factorisation is × 3 × 13 × 181. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 181 … 56472.
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How to work it out
- 1
What is special about 56472: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 24.
- 2
56472 is composite. Its prime factorisation is
- 3
The divisors add up to 152880; without 56472 itself that is 96408, so 56472 is abundant (96408 is more than 56472). Euler's totient φ(56472) = 17280 numbers up to 56472 share no factor with it.
- 4
The digits of 56472 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 56472 = 2^{3} \times 3 \times 13 \times 181 \]56472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 152880 |
| Euler totient φ(n) | 17280 |
| Square | 3189086784 |
| Cube | 180094108866048 |
| Square root | 237.638381 (= 2√14118) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.6472 × |
56472 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand four hundred and seventy-two |
| Binary (base 2) | 1101110010011000 |
| Octal (base 8) | 156230 |
| Hexadecimal (base 16) | DC98 |
| Base 3 | 2212110120 |
| As time | 56472 seconds = 15 h 41 min 12 s |
Is 56472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (56472 ÷ 2 = 28236) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (56472 ÷ 3 = 18824) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (56472 ÷ 4 = 14118) | 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 (56472 ÷ 6 = 9412) | 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 (56472 ÷ 8 = 7059) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (56472 ÷ 12 = 4706) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 56472 a prime number?
No. 56472 = × 3 × 13 × 181, so it is divisible by 2.
What are the factors of 56472?
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 181, 312, 362, 543, 724, 1086, 1448, 2172, 2353, 4344, 4706, 7059, 9412, 14118, 18824, 28236, 56472.
What is 56472 in binary?
1101110010011000 (hexadecimal DC98, octal 156230).
What is the square root of 56472?
About 237.6384, exactly 2√14118.
Is 56472 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 56472?
56472 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 24.